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Finding the Fourth Proportional to 3,057.76, 4,586.60 and 749.28

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Solution

The fourth proportional to 3,057.76, 4,586.60 and 749.28 is: 1,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.76 : 4,586.60 = 749.28 : x
  2. Step 2: Convert to fraction form
    3,057.76/4,586.60 = 749.28/x
  3. Step 3: Cross multiply
    3,057.76x = 4,586.60 × 749.28
  4. Step 4: Simplify right side
    3,057.76x = 3,436,647.65
  5. Step 5: Solve for x
    x = 3,436,647.65/3,057.76
  6. Step 6: Final answer
    x = 1,123.91

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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.