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Finding the Fourth Proportional to 12,454.74, 18,635.98 and 9,982.06

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Solution

The fourth proportional to 12,454.74, 18,635.98 and 9,982.06 is: 14,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.74 : 18,635.98 = 9,982.06 : x
  2. Step 2: Convert to fraction form
    12,454.74/18,635.98 = 9,982.06/x
  3. Step 3: Cross multiply
    12,454.74x = 18,635.98 × 9,982.06
  4. Step 4: Simplify right side
    12,454.74x = 186,025,470.52
  5. Step 5: Solve for x
    x = 186,025,470.52/12,454.74
  6. Step 6: Final answer
    x = 14,936.12

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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.