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Finding the Fourth Proportional to 10,397.92, 14,349.12 and 5,682.56

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Solution

The fourth proportional to 10,397.92, 14,349.12 and 5,682.56 is: 7,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.92 : 14,349.12 = 5,682.56 : x
  2. Step 2: Convert to fraction form
    10,397.92/14,349.12 = 5,682.56/x
  3. Step 3: Cross multiply
    10,397.92x = 14,349.12 × 5,682.56
  4. Step 4: Simplify right side
    10,397.92x = 81,539,735.35
  5. Step 5: Solve for x
    x = 81,539,735.35/10,397.92
  6. Step 6: Final answer
    x = 7,841.93

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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.