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Finding the Fourth Proportional to 3,057.64, 4,586.48 and 749.16

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Solution

The fourth proportional to 3,057.64, 4,586.48 and 749.16 is: 1,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,586.48 = 749.16 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,586.48 = 749.16/x
  3. Step 3: Cross multiply
    3,057.64x = 4,586.48 × 749.16
  4. Step 4: Simplify right side
    3,057.64x = 3,436,007.36
  5. Step 5: Solve for x
    x = 3,436,007.36/3,057.64
  6. Step 6: Final answer
    x = 1,123.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.