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Finding the Fourth Proportional to 21,171.78, 31,763.07 and 6,381.99

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Solution

The fourth proportional to 21,171.78, 31,763.07 and 6,381.99 is: 9,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.78 : 31,763.07 = 6,381.99 : x
  2. Step 2: Convert to fraction form
    21,171.78/31,763.07 = 6,381.99/x
  3. Step 3: Cross multiply
    21,171.78x = 31,763.07 × 6,381.99
  4. Step 4: Simplify right side
    21,171.78x = 202,711,595.11
  5. Step 5: Solve for x
    x = 202,711,595.11/21,171.78
  6. Step 6: Final answer
    x = 9,574.61

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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.