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Finding the Fourth Proportional to 20,680, 28,538.54 and 11,248.63

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Solution

The fourth proportional to 20,680, 28,538.54 and 11,248.63 is: 15,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680 : 28,538.54 = 11,248.63 : x
  2. Step 2: Convert to fraction form
    20,680/28,538.54 = 11,248.63/x
  3. Step 3: Cross multiply
    20,680x = 28,538.54 × 11,248.63
  4. Step 4: Simplify right side
    20,680x = 321,019,477.20
  5. Step 5: Solve for x
    x = 321,019,477.20/20,680
  6. Step 6: Final answer
    x = 15,523.19

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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.