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Finding the Fourth Proportional to 6,487.75, 8,953.12 and 3,934.66

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Solution

The fourth proportional to 6,487.75, 8,953.12 and 3,934.66 is: 5,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.75 : 8,953.12 = 3,934.66 : x
  2. Step 2: Convert to fraction form
    6,487.75/8,953.12 = 3,934.66/x
  3. Step 3: Cross multiply
    6,487.75x = 8,953.12 × 3,934.66
  4. Step 4: Simplify right side
    6,487.75x = 35,227,493.53
  5. Step 5: Solve for x
    x = 35,227,493.53/6,487.75
  6. Step 6: Final answer
    x = 5,429.84

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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.