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Finding the Fourth Proportional to 3,052.71, 4,579.93 and 861.46

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Solution

The fourth proportional to 3,052.71, 4,579.93 and 861.46 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.71 : 4,579.93 = 861.46 : x
  2. Step 2: Convert to fraction form
    3,052.71/4,579.93 = 861.46/x
  3. Step 3: Cross multiply
    3,052.71x = 4,579.93 × 861.46
  4. Step 4: Simplify right side
    3,052.71x = 3,945,424.34
  5. Step 5: Solve for x
    x = 3,945,424.34/3,052.71
  6. Step 6: Final answer
    x = 1,292.43

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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.