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Finding the Fourth Proportional to 6,553.50, 9,044.12 and 3,864.82

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Solution

The fourth proportional to 6,553.50, 9,044.12 and 3,864.82 is: 5,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.50 : 9,044.12 = 3,864.82 : x
  2. Step 2: Convert to fraction form
    6,553.50/9,044.12 = 3,864.82/x
  3. Step 3: Cross multiply
    6,553.50x = 9,044.12 × 3,864.82
  4. Step 4: Simplify right side
    6,553.50x = 34,953,895.86
  5. Step 5: Solve for x
    x = 34,953,895.86/6,553.50
  6. Step 6: Final answer
    x = 5,333.62

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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.