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Finding the Fourth Proportional to 22,500.50, 31,050.92 and 12,429.20

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Solution

The fourth proportional to 22,500.50, 31,050.92 and 12,429.20 is: 17,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500.50 : 31,050.92 = 12,429.20 : x
  2. Step 2: Convert to fraction form
    22,500.50/31,050.92 = 12,429.20/x
  3. Step 3: Cross multiply
    22,500.50x = 31,050.92 × 12,429.20
  4. Step 4: Simplify right side
    22,500.50x = 385,938,203.56
  5. Step 5: Solve for x
    x = 385,938,203.56/22,500.50
  6. Step 6: Final answer
    x = 17,152.43

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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.