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Finding the Fourth Proportional to 21,250.03, 31,875 and 10,122.97

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Solution

The fourth proportional to 21,250.03, 31,875 and 10,122.97 is: 15,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,250.03 : 31,875 = 10,122.97 : x
  2. Step 2: Convert to fraction form
    21,250.03/31,875 = 10,122.97/x
  3. Step 3: Cross multiply
    21,250.03x = 31,875 × 10,122.97
  4. Step 4: Simplify right side
    21,250.03x = 322,669,668.75
  5. Step 5: Solve for x
    x = 322,669,668.75/21,250.03
  6. Step 6: Final answer
    x = 15,184.43

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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.