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Finding the Fourth Proportional to 1,987.38, 2,980.17 and 687.93

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Solution

The fourth proportional to 1,987.38, 2,980.17 and 687.93 is: 1,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.38 : 2,980.17 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,987.38/2,980.17 = 687.93/x
  3. Step 3: Cross multiply
    1,987.38x = 2,980.17 × 687.93
  4. Step 4: Simplify right side
    1,987.38x = 2,050,148.35
  5. Step 5: Solve for x
    x = 2,050,148.35/1,987.38
  6. Step 6: Final answer
    x = 1,031.58

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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.