Home / 1,987.14-2,740.59-1,724.70

Finding the Fourth Proportional to 1,987.14, 2,740.59 and 1,724.70

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Solution

The fourth proportional to 1,987.14, 2,740.59 and 1,724.70 is: 2,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.14 : 2,740.59 = 1,724.70 : x
  2. Step 2: Convert to fraction form
    1,987.14/2,740.59 = 1,724.70/x
  3. Step 3: Cross multiply
    1,987.14x = 2,740.59 × 1,724.70
  4. Step 4: Simplify right side
    1,987.14x = 4,726,695.57
  5. Step 5: Solve for x
    x = 4,726,695.57/1,987.14
  6. Step 6: Final answer
    x = 2,378.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.