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Finding the Fourth Proportional to 12,959.76, 17,882.76 and 7,294.80

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Solution

The fourth proportional to 12,959.76, 17,882.76 and 7,294.80 is: 10,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.76 : 17,882.76 = 7,294.80 : x
  2. Step 2: Convert to fraction form
    12,959.76/17,882.76 = 7,294.80/x
  3. Step 3: Cross multiply
    12,959.76x = 17,882.76 × 7,294.80
  4. Step 4: Simplify right side
    12,959.76x = 130,451,157.65
  5. Step 5: Solve for x
    x = 130,451,157.65/12,959.76
  6. Step 6: Final answer
    x = 10,065.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.