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Finding the Fourth Proportional to 8,427, 11,590.38 and 7,377.24

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Solution

The fourth proportional to 8,427, 11,590.38 and 7,377.24 is: 10,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 11,590.38 = 7,377.24 : x
  2. Step 2: Convert to fraction form
    8,427/11,590.38 = 7,377.24/x
  3. Step 3: Cross multiply
    8,427x = 11,590.38 × 7,377.24
  4. Step 4: Simplify right side
    8,427x = 85,505,014.95
  5. Step 5: Solve for x
    x = 85,505,014.95/8,427
  6. Step 6: Final answer
    x = 10,146.55

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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.