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Finding the Fourth Proportional to 8,397.76, 12,588 and 3,202.24

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Solution

The fourth proportional to 8,397.76, 12,588 and 3,202.24 is: 4,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.76 : 12,588 = 3,202.24 : x
  2. Step 2: Convert to fraction form
    8,397.76/12,588 = 3,202.24/x
  3. Step 3: Cross multiply
    8,397.76x = 12,588 × 3,202.24
  4. Step 4: Simplify right side
    8,397.76x = 40,309,797.12
  5. Step 5: Solve for x
    x = 40,309,797.12/8,397.76
  6. Step 6: Final answer
    x = 4,800.07

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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.