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Finding the Fourth Proportional to 1,574.76, 2,173.16 and 876.12

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Solution

The fourth proportional to 1,574.76, 2,173.16 and 876.12 is: 1,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.76 : 2,173.16 = 876.12 : x
  2. Step 2: Convert to fraction form
    1,574.76/2,173.16 = 876.12/x
  3. Step 3: Cross multiply
    1,574.76x = 2,173.16 × 876.12
  4. Step 4: Simplify right side
    1,574.76x = 1,903,948.94
  5. Step 5: Solve for x
    x = 1,903,948.94/1,574.76
  6. Step 6: Final answer
    x = 1,209.04

Related Problems

Find fourth proportional to 787.38, 1,086.58 and 438.06
Half scale
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Double scale
Find fourth proportional to 1,575.76, 2,174.54 and 877.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.