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Finding the Fourth Proportional to 22,991.40, 34,487.10 and 8,200.80

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Solution

The fourth proportional to 22,991.40, 34,487.10 and 8,200.80 is: 12,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.40 : 34,487.10 = 8,200.80 : x
  2. Step 2: Convert to fraction form
    22,991.40/34,487.10 = 8,200.80/x
  3. Step 3: Cross multiply
    22,991.40x = 34,487.10 × 8,200.80
  4. Step 4: Simplify right side
    22,991.40x = 282,821,809.68
  5. Step 5: Solve for x
    x = 282,821,809.68/22,991.40
  6. Step 6: Final answer
    x = 12,301.20

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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.