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Finding the Fourth Proportional to 10,971, 15,126.26 and 9,156.65

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Solution

The fourth proportional to 10,971, 15,126.26 and 9,156.65 is: 12,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971 : 15,126.26 = 9,156.65 : x
  2. Step 2: Convert to fraction form
    10,971/15,126.26 = 9,156.65/x
  3. Step 3: Cross multiply
    10,971x = 15,126.26 × 9,156.65
  4. Step 4: Simplify right side
    10,971x = 138,505,747.21
  5. Step 5: Solve for x
    x = 138,505,747.21/10,971
  6. Step 6: Final answer
    x = 12,624.71

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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.