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Finding the Fourth Proportional to 21,170.29, 31,744.08 and 7,125.65

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Solution

The fourth proportional to 21,170.29, 31,744.08 and 7,125.65 is: 10,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170.29 : 31,744.08 = 7,125.65 : x
  2. Step 2: Convert to fraction form
    21,170.29/31,744.08 = 7,125.65/x
  3. Step 3: Cross multiply
    21,170.29x = 31,744.08 × 7,125.65
  4. Step 4: Simplify right side
    21,170.29x = 226,197,300.83
  5. Step 5: Solve for x
    x = 226,197,300.83/21,170.29
  6. Step 6: Final answer
    x = 10,684.66

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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.