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Finding the Fourth Proportional to 22,779.57, 34,182.11 and 9,641.78

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Solution

The fourth proportional to 22,779.57, 34,182.11 and 9,641.78 is: 14,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.57 : 34,182.11 = 9,641.78 : x
  2. Step 2: Convert to fraction form
    22,779.57/34,182.11 = 9,641.78/x
  3. Step 3: Cross multiply
    22,779.57x = 34,182.11 × 9,641.78
  4. Step 4: Simplify right side
    22,779.57x = 329,576,237.75
  5. Step 5: Solve for x
    x = 329,576,237.75/22,779.57
  6. Step 6: Final answer
    x = 14,468.06

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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.