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Finding the Fourth Proportional to 21,332, 31,984.31 and 8,860.64

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Solution

The fourth proportional to 21,332, 31,984.31 and 8,860.64 is: 13,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332 : 31,984.31 = 8,860.64 : x
  2. Step 2: Convert to fraction form
    21,332/31,984.31 = 8,860.64/x
  3. Step 3: Cross multiply
    21,332x = 31,984.31 × 8,860.64
  4. Step 4: Simplify right side
    21,332x = 283,401,456.56
  5. Step 5: Solve for x
    x = 283,401,456.56/21,332
  6. Step 6: Final answer
    x = 13,285.27

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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.