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Finding the Fourth Proportional to 21,328, 29,432 and 12,374.90

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Solution

The fourth proportional to 21,328, 29,432 and 12,374.90 is: 17,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328 : 29,432 = 12,374.90 : x
  2. Step 2: Convert to fraction form
    21,328/29,432 = 12,374.90/x
  3. Step 3: Cross multiply
    21,328x = 29,432 × 12,374.90
  4. Step 4: Simplify right side
    21,328x = 364,218,056.80
  5. Step 5: Solve for x
    x = 364,218,056.80/21,328
  6. Step 6: Final answer
    x = 17,076.99

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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.