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Finding the Fourth Proportional to 1,560.76, 2,153.85 and 862.12

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Solution

The fourth proportional to 1,560.76, 2,153.85 and 862.12 is: 1,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.76 : 2,153.85 = 862.12 : x
  2. Step 2: Convert to fraction form
    1,560.76/2,153.85 = 862.12/x
  3. Step 3: Cross multiply
    1,560.76x = 2,153.85 × 862.12
  4. Step 4: Simplify right side
    1,560.76x = 1,856,877.16
  5. Step 5: Solve for x
    x = 1,856,877.16/1,560.76
  6. Step 6: Final answer
    x = 1,189.73

Related Problems

Find fourth proportional to 780.38, 1,076.93 and 431.06
Half scale
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Double scale
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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.