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Finding the Fourth Proportional to 8,442.40, 11,714.12 and 8,200.48

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Solution

The fourth proportional to 8,442.40, 11,714.12 and 8,200.48 is: 11,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.40 : 11,714.12 = 8,200.48 : x
  2. Step 2: Convert to fraction form
    8,442.40/11,714.12 = 8,200.48/x
  3. Step 3: Cross multiply
    8,442.40x = 11,714.12 × 8,200.48
  4. Step 4: Simplify right side
    8,442.40x = 96,061,406.78
  5. Step 5: Solve for x
    x = 96,061,406.78/8,442.40
  6. Step 6: Final answer
    x = 11,378.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.