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Finding the Fourth Proportional to 2,987.70, 4,481.70 and 1,138.47

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Solution

The fourth proportional to 2,987.70, 4,481.70 and 1,138.47 is: 1,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.70 : 4,481.70 = 1,138.47 : x
  2. Step 2: Convert to fraction form
    2,987.70/4,481.70 = 1,138.47/x
  3. Step 3: Cross multiply
    2,987.70x = 4,481.70 × 1,138.47
  4. Step 4: Simplify right side
    2,987.70x = 5,102,259.92
  5. Step 5: Solve for x
    x = 5,102,259.92/2,987.70
  6. Step 6: Final answer
    x = 1,707.76

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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.