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Finding the Fourth Proportional to 2,987.39, 4,481.08 and 766.22

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Solution

The fourth proportional to 2,987.39, 4,481.08 and 766.22 is: 1,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.39 : 4,481.08 = 766.22 : x
  2. Step 2: Convert to fraction form
    2,987.39/4,481.08 = 766.22/x
  3. Step 3: Cross multiply
    2,987.39x = 4,481.08 × 766.22
  4. Step 4: Simplify right side
    2,987.39x = 3,433,489.29
  5. Step 5: Solve for x
    x = 3,433,489.29/2,987.39
  6. Step 6: Final answer
    x = 1,149.33

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1.5x scale

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.