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Finding the Fourth Proportional to 3,034.08, 4,549.68 and 1,302

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Solution

The fourth proportional to 3,034.08, 4,549.68 and 1,302 is: 1,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.08 : 4,549.68 = 1,302 : x
  2. Step 2: Convert to fraction form
    3,034.08/4,549.68 = 1,302/x
  3. Step 3: Cross multiply
    3,034.08x = 4,549.68 × 1,302
  4. Step 4: Simplify right side
    3,034.08x = 5,923,683.36
  5. Step 5: Solve for x
    x = 5,923,683.36/3,034.08
  6. Step 6: Final answer
    x = 1,952.38

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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.