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Finding the Fourth Proportional to 22,711.07, 31,335 and 13,634.10

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Solution

The fourth proportional to 22,711.07, 31,335 and 13,634.10 is: 18,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.07 : 31,335 = 13,634.10 : x
  2. Step 2: Convert to fraction form
    22,711.07/31,335 = 13,634.10/x
  3. Step 3: Cross multiply
    22,711.07x = 31,335 × 13,634.10
  4. Step 4: Simplify right side
    22,711.07x = 427,224,523.50
  5. Step 5: Solve for x
    x = 427,224,523.50/22,711.07
  6. Step 6: Final answer
    x = 18,811.29

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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.