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Finding the Fourth Proportional to 21,810.34, 32,689.14 and 9,947.89

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Solution

The fourth proportional to 21,810.34, 32,689.14 and 9,947.89 is: 14,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.34 : 32,689.14 = 9,947.89 : x
  2. Step 2: Convert to fraction form
    21,810.34/32,689.14 = 9,947.89/x
  3. Step 3: Cross multiply
    21,810.34x = 32,689.14 × 9,947.89
  4. Step 4: Simplify right side
    21,810.34x = 325,187,968.91
  5. Step 5: Solve for x
    x = 325,187,968.91/21,810.34
  6. Step 6: Final answer
    x = 14,909.81

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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.