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Finding the Fourth Proportional to 8,390.42, 12,577.76 and 2,839.88

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Solution

The fourth proportional to 8,390.42, 12,577.76 and 2,839.88 is: 4,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.42 : 12,577.76 = 2,839.88 : x
  2. Step 2: Convert to fraction form
    8,390.42/12,577.76 = 2,839.88/x
  3. Step 3: Cross multiply
    8,390.42x = 12,577.76 × 2,839.88
  4. Step 4: Simplify right side
    8,390.42x = 35,719,266.18
  5. Step 5: Solve for x
    x = 35,719,266.18/8,390.42
  6. Step 6: Final answer
    x = 4,257.15

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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.