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Finding the Fourth Proportional to 1,987, 2,980.50 and 832.75

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Solution

The fourth proportional to 1,987, 2,980.50 and 832.75 is: 1,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987 : 2,980.50 = 832.75 : x
  2. Step 2: Convert to fraction form
    1,987/2,980.50 = 832.75/x
  3. Step 3: Cross multiply
    1,987x = 2,980.50 × 832.75
  4. Step 4: Simplify right side
    1,987x = 2,482,011.38
  5. Step 5: Solve for x
    x = 2,482,011.38/1,987
  6. Step 6: Final answer
    x = 1,249.13

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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.