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Finding the Fourth Proportional to 21,909.69, 32,855.42 and 9,423.14

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Solution

The fourth proportional to 21,909.69, 32,855.42 and 9,423.14 is: 14,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.69 : 32,855.42 = 9,423.14 : x
  2. Step 2: Convert to fraction form
    21,909.69/32,855.42 = 9,423.14/x
  3. Step 3: Cross multiply
    21,909.69x = 32,855.42 × 9,423.14
  4. Step 4: Simplify right side
    21,909.69x = 309,601,081.70
  5. Step 5: Solve for x
    x = 309,601,081.70/21,909.69
  6. Step 6: Final answer
    x = 14,130.78

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1.5x scale

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.