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Finding the Fourth Proportional to 13,693.14, 20,532.87 and 7,117.38

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Solution

The fourth proportional to 13,693.14, 20,532.87 and 7,117.38 is: 10,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.14 : 20,532.87 = 7,117.38 : x
  2. Step 2: Convert to fraction form
    13,693.14/20,532.87 = 7,117.38/x
  3. Step 3: Cross multiply
    13,693.14x = 20,532.87 × 7,117.38
  4. Step 4: Simplify right side
    13,693.14x = 146,140,238.28
  5. Step 5: Solve for x
    x = 146,140,238.28/13,693.14
  6. Step 6: Final answer
    x = 10,672.51

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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.