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Finding the Fourth Proportional to 21,134.77, 29,164 and 12,635.20

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Solution

The fourth proportional to 21,134.77, 29,164 and 12,635.20 is: 17,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.77 : 29,164 = 12,635.20 : x
  2. Step 2: Convert to fraction form
    21,134.77/29,164 = 12,635.20/x
  3. Step 3: Cross multiply
    21,134.77x = 29,164 × 12,635.20
  4. Step 4: Simplify right side
    21,134.77x = 368,492,972.80
  5. Step 5: Solve for x
    x = 368,492,972.80/21,134.77
  6. Step 6: Final answer
    x = 17,435.39

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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.