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Finding the Fourth Proportional to 21,175.65, 31,766.41 and 7,139.69

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Solution

The fourth proportional to 21,175.65, 31,766.41 and 7,139.69 is: 10,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.65 : 31,766.41 = 7,139.69 : x
  2. Step 2: Convert to fraction form
    21,175.65/31,766.41 = 7,139.69/x
  3. Step 3: Cross multiply
    21,175.65x = 31,766.41 × 7,139.69
  4. Step 4: Simplify right side
    21,175.65x = 226,802,427.55
  5. Step 5: Solve for x
    x = 226,802,427.55/21,175.65
  6. Step 6: Final answer
    x = 10,710.53

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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.