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Finding the Fourth Proportional to 5,712.57, 8,569.08 and 5,400.90

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Solution

The fourth proportional to 5,712.57, 8,569.08 and 5,400.90 is: 8,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.57 : 8,569.08 = 5,400.90 : x
  2. Step 2: Convert to fraction form
    5,712.57/8,569.08 = 5,400.90/x
  3. Step 3: Cross multiply
    5,712.57x = 8,569.08 × 5,400.90
  4. Step 4: Simplify right side
    5,712.57x = 46,280,744.17
  5. Step 5: Solve for x
    x = 46,280,744.17/5,712.57
  6. Step 6: Final answer
    x = 8,101.56

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1.5x scale

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.