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Finding the Fourth Proportional to 27,658, 38,168.04 and 15,082.78

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Solution

The fourth proportional to 27,658, 38,168.04 and 15,082.78 is: 20,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658 : 38,168.04 = 15,082.78 : x
  2. Step 2: Convert to fraction form
    27,658/38,168.04 = 15,082.78/x
  3. Step 3: Cross multiply
    27,658x = 38,168.04 × 15,082.78
  4. Step 4: Simplify right side
    27,658x = 575,680,150.35
  5. Step 5: Solve for x
    x = 575,680,150.35/27,658
  6. Step 6: Final answer
    x = 20,814.24

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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.