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Finding the Fourth Proportional to 12,700.12, 17,523.06 and 7,391.80

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Solution

The fourth proportional to 12,700.12, 17,523.06 and 7,391.80 is: 10,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.12 : 17,523.06 = 7,391.80 : x
  2. Step 2: Convert to fraction form
    12,700.12/17,523.06 = 7,391.80/x
  3. Step 3: Cross multiply
    12,700.12x = 17,523.06 × 7,391.80
  4. Step 4: Simplify right side
    12,700.12x = 129,526,954.91
  5. Step 5: Solve for x
    x = 129,526,954.91/12,700.12
  6. Step 6: Final answer
    x = 10,198.88

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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.