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Finding the Fourth Proportional to 2,508.95, 3,764.28 and 949.40

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Solution

The fourth proportional to 2,508.95, 3,764.28 and 949.40 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.95 : 3,764.28 = 949.40 : x
  2. Step 2: Convert to fraction form
    2,508.95/3,764.28 = 949.40/x
  3. Step 3: Cross multiply
    2,508.95x = 3,764.28 × 949.40
  4. Step 4: Simplify right side
    2,508.95x = 3,573,807.43
  5. Step 5: Solve for x
    x = 3,573,807.43/2,508.95
  6. Step 6: Final answer
    x = 1,424.42

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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.