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Finding the Fourth Proportional to 8,539.42, 12,796.17 and 6,337.84

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Solution

The fourth proportional to 8,539.42, 12,796.17 and 6,337.84 is: 9,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.42 : 12,796.17 = 6,337.84 : x
  2. Step 2: Convert to fraction form
    8,539.42/12,796.17 = 6,337.84/x
  3. Step 3: Cross multiply
    8,539.42x = 12,796.17 × 6,337.84
  4. Step 4: Simplify right side
    8,539.42x = 81,100,078.07
  5. Step 5: Solve for x
    x = 81,100,078.07/8,539.42
  6. Step 6: Final answer
    x = 9,497.14

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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.