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Finding the Fourth Proportional to 1,987.15, 2,741.04 and 1,278.76

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Solution

The fourth proportional to 1,987.15, 2,741.04 and 1,278.76 is: 1,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.15 : 2,741.04 = 1,278.76 : x
  2. Step 2: Convert to fraction form
    1,987.15/2,741.04 = 1,278.76/x
  3. Step 3: Cross multiply
    1,987.15x = 2,741.04 × 1,278.76
  4. Step 4: Simplify right side
    1,987.15x = 3,505,132.31
  5. Step 5: Solve for x
    x = 3,505,132.31/1,987.15
  6. Step 6: Final answer
    x = 1,763.90

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1.5x scale

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.