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Finding the Fourth Proportional to 12,262.39, 18,393.68 and 7,882.92

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Solution

The fourth proportional to 12,262.39, 18,393.68 and 7,882.92 is: 11,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.39 : 18,393.68 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    12,262.39/18,393.68 = 7,882.92/x
  3. Step 3: Cross multiply
    12,262.39x = 18,393.68 × 7,882.92
  4. Step 4: Simplify right side
    12,262.39x = 144,995,927.65
  5. Step 5: Solve for x
    x = 144,995,927.65/12,262.39
  6. Step 6: Final answer
    x = 11,824.45

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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.