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Finding the Fourth Proportional to 2,592.78, 3,890.66 and 949.11

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Solution

The fourth proportional to 2,592.78, 3,890.66 and 949.11 is: 1,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.78 : 3,890.66 = 949.11 : x
  2. Step 2: Convert to fraction form
    2,592.78/3,890.66 = 949.11/x
  3. Step 3: Cross multiply
    2,592.78x = 3,890.66 × 949.11
  4. Step 4: Simplify right side
    2,592.78x = 3,692,659.57
  5. Step 5: Solve for x
    x = 3,692,659.57/2,592.78
  6. Step 6: Final answer
    x = 1,424.21

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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.