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Finding the Fourth Proportional to 3,898.89, 5,381.13 and 3,661.68

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Solution

The fourth proportional to 3,898.89, 5,381.13 and 3,661.68 is: 5,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.89 : 5,381.13 = 3,661.68 : x
  2. Step 2: Convert to fraction form
    3,898.89/5,381.13 = 3,661.68/x
  3. Step 3: Cross multiply
    3,898.89x = 5,381.13 × 3,661.68
  4. Step 4: Simplify right side
    3,898.89x = 19,703,976.10
  5. Step 5: Solve for x
    x = 19,703,976.10/3,898.89
  6. Step 6: Final answer
    x = 5,053.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.