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Finding the Fourth Proportional to 8,532.39, 12,799.78 and 2,984.47

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Solution

The fourth proportional to 8,532.39, 12,799.78 and 2,984.47 is: 4,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.39 : 12,799.78 = 2,984.47 : x
  2. Step 2: Convert to fraction form
    8,532.39/12,799.78 = 2,984.47/x
  3. Step 3: Cross multiply
    8,532.39x = 12,799.78 × 2,984.47
  4. Step 4: Simplify right side
    8,532.39x = 38,200,559.42
  5. Step 5: Solve for x
    x = 38,200,559.42/8,532.39
  6. Step 6: Final answer
    x = 4,477.12

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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.