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Finding the Fourth Proportional to 28,024, 38,672.16 and 15,448

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Solution

The fourth proportional to 28,024, 38,672.16 and 15,448 is: 21,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024 : 38,672.16 = 15,448 : x
  2. Step 2: Convert to fraction form
    28,024/38,672.16 = 15,448/x
  3. Step 3: Cross multiply
    28,024x = 38,672.16 × 15,448
  4. Step 4: Simplify right side
    28,024x = 597,407,527.68
  5. Step 5: Solve for x
    x = 597,407,527.68/28,024
  6. Step 6: Final answer
    x = 21,317.71

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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.