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Finding the Fourth Proportional to 10,825.38, 14,891.85 and 9,475.38

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Solution

The fourth proportional to 10,825.38, 14,891.85 and 9,475.38 is: 13,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.38 : 14,891.85 = 9,475.38 : x
  2. Step 2: Convert to fraction form
    10,825.38/14,891.85 = 9,475.38/x
  3. Step 3: Cross multiply
    10,825.38x = 14,891.85 × 9,475.38
  4. Step 4: Simplify right side
    10,825.38x = 141,105,937.65
  5. Step 5: Solve for x
    x = 141,105,937.65/10,825.38
  6. Step 6: Final answer
    x = 13,034.73

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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.