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Finding the Fourth Proportional to 8,419.76, 12,631.76 and 2,797.80

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Solution

The fourth proportional to 8,419.76, 12,631.76 and 2,797.80 is: 4,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.76 : 12,631.76 = 2,797.80 : x
  2. Step 2: Convert to fraction form
    8,419.76/12,631.76 = 2,797.80/x
  3. Step 3: Cross multiply
    8,419.76x = 12,631.76 × 2,797.80
  4. Step 4: Simplify right side
    8,419.76x = 35,341,138.13
  5. Step 5: Solve for x
    x = 35,341,138.13/8,419.76
  6. Step 6: Final answer
    x = 4,197.40

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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.