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Finding the Fourth Proportional to 3,640.73, 5,462.91 and 1,560.15

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Solution

The fourth proportional to 3,640.73, 5,462.91 and 1,560.15 is: 2,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.73 : 5,462.91 = 1,560.15 : x
  2. Step 2: Convert to fraction form
    3,640.73/5,462.91 = 1,560.15/x
  3. Step 3: Cross multiply
    3,640.73x = 5,462.91 × 1,560.15
  4. Step 4: Simplify right side
    3,640.73x = 8,522,959.04
  5. Step 5: Solve for x
    x = 8,522,959.04/3,640.73
  6. Step 6: Final answer
    x = 2,341.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.