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Finding the Fourth Proportional to 1,987.82, 2,741.18 and 1,201.40

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Solution

The fourth proportional to 1,987.82, 2,741.18 and 1,201.40 is: 1,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.82 : 2,741.18 = 1,201.40 : x
  2. Step 2: Convert to fraction form
    1,987.82/2,741.18 = 1,201.40/x
  3. Step 3: Cross multiply
    1,987.82x = 2,741.18 × 1,201.40
  4. Step 4: Simplify right side
    1,987.82x = 3,293,253.65
  5. Step 5: Solve for x
    x = 3,293,253.65/1,987.82
  6. Step 6: Final answer
    x = 1,656.72

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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.