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Finding the Fourth Proportional to 3,855.13, 5,785 and 1,663.86

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Solution

The fourth proportional to 3,855.13, 5,785 and 1,663.86 is: 2,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.13 : 5,785 = 1,663.86 : x
  2. Step 2: Convert to fraction form
    3,855.13/5,785 = 1,663.86/x
  3. Step 3: Cross multiply
    3,855.13x = 5,785 × 1,663.86
  4. Step 4: Simplify right side
    3,855.13x = 9,625,430.10
  5. Step 5: Solve for x
    x = 9,625,430.10/3,855.13
  6. Step 6: Final answer
    x = 2,496.78

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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.