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Finding the Fourth Proportional to 21,058.52, 31,560.45 and 8,564

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Solution

The fourth proportional to 21,058.52, 31,560.45 and 8,564 is: 12,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.52 : 31,560.45 = 8,564 : x
  2. Step 2: Convert to fraction form
    21,058.52/31,560.45 = 8,564/x
  3. Step 3: Cross multiply
    21,058.52x = 31,560.45 × 8,564
  4. Step 4: Simplify right side
    21,058.52x = 270,283,693.80
  5. Step 5: Solve for x
    x = 270,283,693.80/21,058.52
  6. Step 6: Final answer
    x = 12,834.89

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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.