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Finding the Fourth Proportional to 2,742.80, 4,113.12 and 987.32

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Solution

The fourth proportional to 2,742.80, 4,113.12 and 987.32 is: 1,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.80 : 4,113.12 = 987.32 : x
  2. Step 2: Convert to fraction form
    2,742.80/4,113.12 = 987.32/x
  3. Step 3: Cross multiply
    2,742.80x = 4,113.12 × 987.32
  4. Step 4: Simplify right side
    2,742.80x = 4,060,965.64
  5. Step 5: Solve for x
    x = 4,060,965.64/2,742.80
  6. Step 6: Final answer
    x = 1,480.59

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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.