Home / 1,987.52-2,981.78-1,403.66

Finding the Fourth Proportional to 1,987.52, 2,981.78 and 1,403.66

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Solution

The fourth proportional to 1,987.52, 2,981.78 and 1,403.66 is: 2,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.52 : 2,981.78 = 1,403.66 : x
  2. Step 2: Convert to fraction form
    1,987.52/2,981.78 = 1,403.66/x
  3. Step 3: Cross multiply
    1,987.52x = 2,981.78 × 1,403.66
  4. Step 4: Simplify right side
    1,987.52x = 4,185,405.75
  5. Step 5: Solve for x
    x = 4,185,405.75/1,987.52
  6. Step 6: Final answer
    x = 2,105.85

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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.