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Finding the Fourth Proportional to 10,791.20, 16,189.20 and 8,458.40

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Solution

The fourth proportional to 10,791.20, 16,189.20 and 8,458.40 is: 12,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.20 : 16,189.20 = 8,458.40 : x
  2. Step 2: Convert to fraction form
    10,791.20/16,189.20 = 8,458.40/x
  3. Step 3: Cross multiply
    10,791.20x = 16,189.20 × 8,458.40
  4. Step 4: Simplify right side
    10,791.20x = 136,934,729.28
  5. Step 5: Solve for x
    x = 136,934,729.28/10,791.20
  6. Step 6: Final answer
    x = 12,689.48

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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.