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Finding the Fourth Proportional to 3,978.13, 5,490.62 and 2,299.60

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Solution

The fourth proportional to 3,978.13, 5,490.62 and 2,299.60 is: 3,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.13 : 5,490.62 = 2,299.60 : x
  2. Step 2: Convert to fraction form
    3,978.13/5,490.62 = 2,299.60/x
  3. Step 3: Cross multiply
    3,978.13x = 5,490.62 × 2,299.60
  4. Step 4: Simplify right side
    3,978.13x = 12,626,218.25
  5. Step 5: Solve for x
    x = 12,626,218.25/3,978.13
  6. Step 6: Final answer
    x = 3,173.91

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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.