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Finding the Fourth Proportional to 11,442.89, 15,791.11 and 6,407.10

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Solution

The fourth proportional to 11,442.89, 15,791.11 and 6,407.10 is: 8,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.89 : 15,791.11 = 6,407.10 : x
  2. Step 2: Convert to fraction form
    11,442.89/15,791.11 = 6,407.10/x
  3. Step 3: Cross multiply
    11,442.89x = 15,791.11 × 6,407.10
  4. Step 4: Simplify right side
    11,442.89x = 101,175,204.86
  5. Step 5: Solve for x
    x = 101,175,204.86/11,442.89
  6. Step 6: Final answer
    x = 8,841.75

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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.