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Finding the Fourth Proportional to 10,486, 15,721.70 and 3,910.42

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Solution

The fourth proportional to 10,486, 15,721.70 and 3,910.42 is: 5,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486 : 15,721.70 = 3,910.42 : x
  2. Step 2: Convert to fraction form
    10,486/15,721.70 = 3,910.42/x
  3. Step 3: Cross multiply
    10,486x = 15,721.70 × 3,910.42
  4. Step 4: Simplify right side
    10,486x = 61,478,450.11
  5. Step 5: Solve for x
    x = 61,478,450.11/10,486
  6. Step 6: Final answer
    x = 5,862.91

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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.