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Finding the Fourth Proportional to 10,182, 15,270.84 and 8,245.20

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Solution

The fourth proportional to 10,182, 15,270.84 and 8,245.20 is: 12,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182 : 15,270.84 = 8,245.20 : x
  2. Step 2: Convert to fraction form
    10,182/15,270.84 = 8,245.20/x
  3. Step 3: Cross multiply
    10,182x = 15,270.84 × 8,245.20
  4. Step 4: Simplify right side
    10,182x = 125,911,129.97
  5. Step 5: Solve for x
    x = 125,911,129.97/10,182
  6. Step 6: Final answer
    x = 12,366.05

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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.