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Finding the Fourth Proportional to 2,743.48, 4,115.22 and 988.72

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Solution

The fourth proportional to 2,743.48, 4,115.22 and 988.72 is: 1,483.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.48 : 4,115.22 = 988.72 : x
  2. Step 2: Convert to fraction form
    2,743.48/4,115.22 = 988.72/x
  3. Step 3: Cross multiply
    2,743.48x = 4,115.22 × 988.72
  4. Step 4: Simplify right side
    2,743.48x = 4,068,790.03
  5. Step 5: Solve for x
    x = 4,068,790.03/2,743.48
  6. Step 6: Final answer
    x = 1,483.08

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Similar ratio
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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.