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Finding the Fourth Proportional to 12,731.76, 19,098.16 and 3,497.76

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Solution

The fourth proportional to 12,731.76, 19,098.16 and 3,497.76 is: 5,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.76 : 19,098.16 = 3,497.76 : x
  2. Step 2: Convert to fraction form
    12,731.76/19,098.16 = 3,497.76/x
  3. Step 3: Cross multiply
    12,731.76x = 19,098.16 × 3,497.76
  4. Step 4: Simplify right side
    12,731.76x = 66,800,780.12
  5. Step 5: Solve for x
    x = 66,800,780.12/12,731.76
  6. Step 6: Final answer
    x = 5,246.78

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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.