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Finding the Fourth Proportional to 5,737.92, 7,920.72 and 3,499.12

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Solution

The fourth proportional to 5,737.92, 7,920.72 and 3,499.12 is: 4,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.92 : 7,920.72 = 3,499.12 : x
  2. Step 2: Convert to fraction form
    5,737.92/7,920.72 = 3,499.12/x
  3. Step 3: Cross multiply
    5,737.92x = 7,920.72 × 3,499.12
  4. Step 4: Simplify right side
    5,737.92x = 27,715,549.77
  5. Step 5: Solve for x
    x = 27,715,549.77/5,737.92
  6. Step 6: Final answer
    x = 4,830.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.