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Finding the Fourth Proportional to 41,143.17, 61,714.78 and 9,978.42

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Solution

The fourth proportional to 41,143.17, 61,714.78 and 9,978.42 is: 14,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,143.17 : 61,714.78 = 9,978.42 : x
  2. Step 2: Convert to fraction form
    41,143.17/61,714.78 = 9,978.42/x
  3. Step 3: Cross multiply
    41,143.17x = 61,714.78 × 9,978.42
  4. Step 4: Simplify right side
    41,143.17x = 615,815,995.05
  5. Step 5: Solve for x
    x = 615,815,995.05/41,143.17
  6. Step 6: Final answer
    x = 14,967.64

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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.