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Finding the Fourth Proportional to 20,502.19, 28,293.69 and 11,549.86

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Solution

The fourth proportional to 20,502.19, 28,293.69 and 11,549.86 is: 15,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.19 : 28,293.69 = 11,549.86 : x
  2. Step 2: Convert to fraction form
    20,502.19/28,293.69 = 11,549.86/x
  3. Step 3: Cross multiply
    20,502.19x = 28,293.69 × 11,549.86
  4. Step 4: Simplify right side
    20,502.19x = 326,788,158.38
  5. Step 5: Solve for x
    x = 326,788,158.38/20,502.19
  6. Step 6: Final answer
    x = 15,939.18

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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.