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Finding the Fourth Proportional to 10,660, 15,993.33 and 3,640.18

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Solution

The fourth proportional to 10,660, 15,993.33 and 3,640.18 is: 5,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660 : 15,993.33 = 3,640.18 : x
  2. Step 2: Convert to fraction form
    10,660/15,993.33 = 3,640.18/x
  3. Step 3: Cross multiply
    10,660x = 15,993.33 × 3,640.18
  4. Step 4: Simplify right side
    10,660x = 58,218,600.00
  5. Step 5: Solve for x
    x = 58,218,600.00/10,660
  6. Step 6: Final answer
    x = 5,461.41

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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.