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Finding the Fourth Proportional to 1,560.76, 2,154.86 and 972.16

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Solution

The fourth proportional to 1,560.76, 2,154.86 and 972.16 is: 1,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.76 : 2,154.86 = 972.16 : x
  2. Step 2: Convert to fraction form
    1,560.76/2,154.86 = 972.16/x
  3. Step 3: Cross multiply
    1,560.76x = 2,154.86 × 972.16
  4. Step 4: Simplify right side
    1,560.76x = 2,094,868.70
  5. Step 5: Solve for x
    x = 2,094,868.70/1,560.76
  6. Step 6: Final answer
    x = 1,342.21

Related Problems

Find fourth proportional to 780.38, 1,077.43 and 486.08
Half scale
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Double scale
Find fourth proportional to 1,561.76, 2,156.24 and 973.16
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.