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Finding the Fourth Proportional to 15,098.59, 20,835.87 and 8,383.96

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Solution

The fourth proportional to 15,098.59, 20,835.87 and 8,383.96 is: 11,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.59 : 20,835.87 = 8,383.96 : x
  2. Step 2: Convert to fraction form
    15,098.59/20,835.87 = 8,383.96/x
  3. Step 3: Cross multiply
    15,098.59x = 20,835.87 × 8,383.96
  4. Step 4: Simplify right side
    15,098.59x = 174,687,100.65
  5. Step 5: Solve for x
    x = 174,687,100.65/15,098.59
  6. Step 6: Final answer
    x = 11,569.76

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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.