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Finding the Fourth Proportional to 6,380.46, 8,802.11 and 4,142.43

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Solution

The fourth proportional to 6,380.46, 8,802.11 and 4,142.43 is: 5,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.46 : 8,802.11 = 4,142.43 : x
  2. Step 2: Convert to fraction form
    6,380.46/8,802.11 = 4,142.43/x
  3. Step 3: Cross multiply
    6,380.46x = 8,802.11 × 4,142.43
  4. Step 4: Simplify right side
    6,380.46x = 36,462,103.82
  5. Step 5: Solve for x
    x = 36,462,103.82/6,380.46
  6. Step 6: Final answer
    x = 5,714.65

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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.