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Finding the Fourth Proportional to 20,439, 30,630.78 and 9,331.92

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Solution

The fourth proportional to 20,439, 30,630.78 and 9,331.92 is: 13,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 30,630.78 = 9,331.92 : x
  2. Step 2: Convert to fraction form
    20,439/30,630.78 = 9,331.92/x
  3. Step 3: Cross multiply
    20,439x = 30,630.78 × 9,331.92
  4. Step 4: Simplify right side
    20,439x = 285,843,988.50
  5. Step 5: Solve for x
    x = 285,843,988.50/20,439
  6. Step 6: Final answer
    x = 13,985.22

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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.