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Finding the Fourth Proportional to 11,342.29, 15,648.19 and 6,864.41

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Solution

The fourth proportional to 11,342.29, 15,648.19 and 6,864.41 is: 9,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.29 : 15,648.19 = 6,864.41 : x
  2. Step 2: Convert to fraction form
    11,342.29/15,648.19 = 6,864.41/x
  3. Step 3: Cross multiply
    11,342.29x = 15,648.19 × 6,864.41
  4. Step 4: Simplify right side
    11,342.29x = 107,415,591.92
  5. Step 5: Solve for x
    x = 107,415,591.92/11,342.29
  6. Step 6: Final answer
    x = 9,470.36

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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.