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Finding the Fourth Proportional to 19,724.40, 29,575.80 and 8,024.40

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Solution

The fourth proportional to 19,724.40, 29,575.80 and 8,024.40 is: 12,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.40 : 29,575.80 = 8,024.40 : x
  2. Step 2: Convert to fraction form
    19,724.40/29,575.80 = 8,024.40/x
  3. Step 3: Cross multiply
    19,724.40x = 29,575.80 × 8,024.40
  4. Step 4: Simplify right side
    19,724.40x = 237,328,049.52
  5. Step 5: Solve for x
    x = 237,328,049.52/19,724.40
  6. Step 6: Final answer
    x = 12,032.21

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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.