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Finding the Fourth Proportional to 10,032.69, 13,848.11 and 6,496.14

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Solution

The fourth proportional to 10,032.69, 13,848.11 and 6,496.14 is: 8,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.69 : 13,848.11 = 6,496.14 : x
  2. Step 2: Convert to fraction form
    10,032.69/13,848.11 = 6,496.14/x
  3. Step 3: Cross multiply
    10,032.69x = 13,848.11 × 6,496.14
  4. Step 4: Simplify right side
    10,032.69x = 89,959,261.30
  5. Step 5: Solve for x
    x = 89,959,261.30/10,032.69
  6. Step 6: Final answer
    x = 8,966.61

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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.