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Finding the Fourth Proportional to 2,742.98, 4,114.80 and 987.71

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Solution

The fourth proportional to 2,742.98, 4,114.80 and 987.71 is: 1,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.98 : 4,114.80 = 987.71 : x
  2. Step 2: Convert to fraction form
    2,742.98/4,114.80 = 987.71/x
  3. Step 3: Cross multiply
    2,742.98x = 4,114.80 × 987.71
  4. Step 4: Simplify right side
    2,742.98x = 4,064,208.53
  5. Step 5: Solve for x
    x = 4,064,208.53/2,742.98
  6. Step 6: Final answer
    x = 1,481.68

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1.5x scale

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.