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Finding the Fourth Proportional to 3,057.68, 4,586.54 and 749.18

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Solution

The fourth proportional to 3,057.68, 4,586.54 and 749.18 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.68 : 4,586.54 = 749.18 : x
  2. Step 2: Convert to fraction form
    3,057.68/4,586.54 = 749.18/x
  3. Step 3: Cross multiply
    3,057.68x = 4,586.54 × 749.18
  4. Step 4: Simplify right side
    3,057.68x = 3,436,144.04
  5. Step 5: Solve for x
    x = 3,436,144.04/3,057.68
  6. Step 6: Final answer
    x = 1,123.77

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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.