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Finding the Fourth Proportional to 2,949.78, 4,424.67 and 758.51

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Solution

The fourth proportional to 2,949.78, 4,424.67 and 758.51 is: 1,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.78 : 4,424.67 = 758.51 : x
  2. Step 2: Convert to fraction form
    2,949.78/4,424.67 = 758.51/x
  3. Step 3: Cross multiply
    2,949.78x = 4,424.67 × 758.51
  4. Step 4: Simplify right side
    2,949.78x = 3,356,156.44
  5. Step 5: Solve for x
    x = 3,356,156.44/2,949.78
  6. Step 6: Final answer
    x = 1,137.77

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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.