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Finding the Fourth Proportional to 13,856.65, 20,793.17 and 5,097.71

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Solution

The fourth proportional to 13,856.65, 20,793.17 and 5,097.71 is: 7,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.65 : 20,793.17 = 5,097.71 : x
  2. Step 2: Convert to fraction form
    13,856.65/20,793.17 = 5,097.71/x
  3. Step 3: Cross multiply
    13,856.65x = 20,793.17 × 5,097.71
  4. Step 4: Simplify right side
    13,856.65x = 105,997,550.64
  5. Step 5: Solve for x
    x = 105,997,550.64/13,856.65
  6. Step 6: Final answer
    x = 7,649.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.