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Finding the Fourth Proportional to 7,411.92, 10,220.04 and 5,545.68

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Solution

The fourth proportional to 7,411.92, 10,220.04 and 5,545.68 is: 7,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.92 : 10,220.04 = 5,545.68 : x
  2. Step 2: Convert to fraction form
    7,411.92/10,220.04 = 5,545.68/x
  3. Step 3: Cross multiply
    7,411.92x = 10,220.04 × 5,545.68
  4. Step 4: Simplify right side
    7,411.92x = 56,677,071.43
  5. Step 5: Solve for x
    x = 56,677,071.43/7,411.92
  6. Step 6: Final answer
    x = 7,646.75

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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.