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Finding the Fourth Proportional to 10,180, 15,267.84 and 8,243.20

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Solution

The fourth proportional to 10,180, 15,267.84 and 8,243.20 is: 12,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180 : 15,267.84 = 8,243.20 : x
  2. Step 2: Convert to fraction form
    10,180/15,267.84 = 8,243.20/x
  3. Step 3: Cross multiply
    10,180x = 15,267.84 × 8,243.20
  4. Step 4: Simplify right side
    10,180x = 125,855,858.69
  5. Step 5: Solve for x
    x = 125,855,858.69/10,180
  6. Step 6: Final answer
    x = 12,363.05

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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.