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Finding the Fourth Proportional to 12,882.40, 17,779.50 and 8,167.12

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Solution

The fourth proportional to 12,882.40, 17,779.50 and 8,167.12 is: 11,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.40 : 17,779.50 = 8,167.12 : x
  2. Step 2: Convert to fraction form
    12,882.40/17,779.50 = 8,167.12/x
  3. Step 3: Cross multiply
    12,882.40x = 17,779.50 × 8,167.12
  4. Step 4: Simplify right side
    12,882.40x = 145,207,310.04
  5. Step 5: Solve for x
    x = 145,207,310.04/12,882.40
  6. Step 6: Final answer
    x = 11,271.76

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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.