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Finding the Fourth Proportional to 2,749.64, 4,124.87 and 994.78

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Solution

The fourth proportional to 2,749.64, 4,124.87 and 994.78 is: 1,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.64 : 4,124.87 = 994.78 : x
  2. Step 2: Convert to fraction form
    2,749.64/4,124.87 = 994.78/x
  3. Step 3: Cross multiply
    2,749.64x = 4,124.87 × 994.78
  4. Step 4: Simplify right side
    2,749.64x = 4,103,330.35
  5. Step 5: Solve for x
    x = 4,103,330.35/2,749.64
  6. Step 6: Final answer
    x = 1,492.31

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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.