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Finding the Fourth Proportional to 21,609.50, 29,821.20 and 12,178.22

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Solution

The fourth proportional to 21,609.50, 29,821.20 and 12,178.22 is: 16,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609.50 : 29,821.20 = 12,178.22 : x
  2. Step 2: Convert to fraction form
    21,609.50/29,821.20 = 12,178.22/x
  3. Step 3: Cross multiply
    21,609.50x = 29,821.20 × 12,178.22
  4. Step 4: Simplify right side
    21,609.50x = 363,169,134.26
  5. Step 5: Solve for x
    x = 363,169,134.26/21,609.50
  6. Step 6: Final answer
    x = 16,805.99

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1.5x scale

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.