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Finding the Fourth Proportional to 20,952, 31,429.89 and 5,369.76

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Solution

The fourth proportional to 20,952, 31,429.89 and 5,369.76 is: 8,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 31,429.89 = 5,369.76 : x
  2. Step 2: Convert to fraction form
    20,952/31,429.89 = 5,369.76/x
  3. Step 3: Cross multiply
    20,952x = 31,429.89 × 5,369.76
  4. Step 4: Simplify right side
    20,952x = 168,770,966.13
  5. Step 5: Solve for x
    x = 168,770,966.13/20,952
  6. Step 6: Final answer
    x = 8,055.12

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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.