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Finding the Fourth Proportional to 5,617.32, 7,753.08 and 3,729

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Solution

The fourth proportional to 5,617.32, 7,753.08 and 3,729 is: 5,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.32 : 7,753.08 = 3,729 : x
  2. Step 2: Convert to fraction form
    5,617.32/7,753.08 = 3,729/x
  3. Step 3: Cross multiply
    5,617.32x = 7,753.08 × 3,729
  4. Step 4: Simplify right side
    5,617.32x = 28,911,235.32
  5. Step 5: Solve for x
    x = 28,911,235.32/5,617.32
  6. Step 6: Final answer
    x = 5,146.80

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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.