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Finding the Fourth Proportional to 2,987.19, 4,480.78 and 935.19

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Solution

The fourth proportional to 2,987.19, 4,480.78 and 935.19 is: 1,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.19 : 4,480.78 = 935.19 : x
  2. Step 2: Convert to fraction form
    2,987.19/4,480.78 = 935.19/x
  3. Step 3: Cross multiply
    2,987.19x = 4,480.78 × 935.19
  4. Step 4: Simplify right side
    2,987.19x = 4,190,380.65
  5. Step 5: Solve for x
    x = 4,190,380.65/2,987.19
  6. Step 6: Final answer
    x = 1,402.78

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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.