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Finding the Fourth Proportional to 21,062.80, 31,600 and 9,214.42

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Solution

The fourth proportional to 21,062.80, 31,600 and 9,214.42 is: 13,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.80 : 31,600 = 9,214.42 : x
  2. Step 2: Convert to fraction form
    21,062.80/31,600 = 9,214.42/x
  3. Step 3: Cross multiply
    21,062.80x = 31,600 × 9,214.42
  4. Step 4: Simplify right side
    21,062.80x = 291,175,672
  5. Step 5: Solve for x
    x = 291,175,672/21,062.80
  6. Step 6: Final answer
    x = 13,824.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.