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Finding the Fourth Proportional to 22,776.64, 31,432 and 12,706

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Solution

The fourth proportional to 22,776.64, 31,432 and 12,706 is: 17,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.64 : 31,432 = 12,706 : x
  2. Step 2: Convert to fraction form
    22,776.64/31,432 = 12,706/x
  3. Step 3: Cross multiply
    22,776.64x = 31,432 × 12,706
  4. Step 4: Simplify right side
    22,776.64x = 399,374,992
  5. Step 5: Solve for x
    x = 399,374,992/22,776.64
  6. Step 6: Final answer
    x = 17,534.41

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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.