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Finding the Fourth Proportional to 19,609.80, 29,433.90 and 9,760.20

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Solution

The fourth proportional to 19,609.80, 29,433.90 and 9,760.20 is: 14,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.80 : 29,433.90 = 9,760.20 : x
  2. Step 2: Convert to fraction form
    19,609.80/29,433.90 = 9,760.20/x
  3. Step 3: Cross multiply
    19,609.80x = 29,433.90 × 9,760.20
  4. Step 4: Simplify right side
    19,609.80x = 287,280,750.78
  5. Step 5: Solve for x
    x = 287,280,750.78/19,609.80
  6. Step 6: Final answer
    x = 14,649.86

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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.