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Finding the Fourth Proportional to 7,229.92, 10,838.21 and 2,547.38

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Solution

The fourth proportional to 7,229.92, 10,838.21 and 2,547.38 is: 3,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.92 : 10,838.21 = 2,547.38 : x
  2. Step 2: Convert to fraction form
    7,229.92/10,838.21 = 2,547.38/x
  3. Step 3: Cross multiply
    7,229.92x = 10,838.21 × 2,547.38
  4. Step 4: Simplify right side
    7,229.92x = 27,608,985.20
  5. Step 5: Solve for x
    x = 27,608,985.20/7,229.92
  6. Step 6: Final answer
    x = 3,818.72

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