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Finding the Fourth Proportional to 1,987.50, 2,742.75 and 1,159.50

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Solution

The fourth proportional to 1,987.50, 2,742.75 and 1,159.50 is: 1,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.50 : 2,742.75 = 1,159.50 : x
  2. Step 2: Convert to fraction form
    1,987.50/2,742.75 = 1,159.50/x
  3. Step 3: Cross multiply
    1,987.50x = 2,742.75 × 1,159.50
  4. Step 4: Simplify right side
    1,987.50x = 3,180,218.63
  5. Step 5: Solve for x
    x = 3,180,218.63/1,987.50
  6. Step 6: Final answer
    x = 1,600.11

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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.