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Finding the Fourth Proportional to 15,395.71, 21,234 and 11,147.41

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Solution

The fourth proportional to 15,395.71, 21,234 and 11,147.41 is: 15,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,395.71 : 21,234 = 11,147.41 : x
  2. Step 2: Convert to fraction form
    15,395.71/21,234 = 11,147.41/x
  3. Step 3: Cross multiply
    15,395.71x = 21,234 × 11,147.41
  4. Step 4: Simplify right side
    15,395.71x = 236,704,103.94
  5. Step 5: Solve for x
    x = 236,704,103.94/15,395.71
  6. Step 6: Final answer
    x = 15,374.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.