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Finding the Fourth Proportional to 2,743.53, 4,116.09 and 988.50

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Solution

The fourth proportional to 2,743.53, 4,116.09 and 988.50 is: 1,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.53 : 4,116.09 = 988.50 : x
  2. Step 2: Convert to fraction form
    2,743.53/4,116.09 = 988.50/x
  3. Step 3: Cross multiply
    2,743.53x = 4,116.09 × 988.50
  4. Step 4: Simplify right side
    2,743.53x = 4,068,754.97
  5. Step 5: Solve for x
    x = 4,068,754.97/2,743.53
  6. Step 6: Final answer
    x = 1,483.04

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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.