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Finding the Fourth Proportional to 3,652.84, 5,479.31 and 1,055.78

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Solution

The fourth proportional to 3,652.84, 5,479.31 and 1,055.78 is: 1,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.84 : 5,479.31 = 1,055.78 : x
  2. Step 2: Convert to fraction form
    3,652.84/5,479.31 = 1,055.78/x
  3. Step 3: Cross multiply
    3,652.84x = 5,479.31 × 1,055.78
  4. Step 4: Simplify right side
    3,652.84x = 5,784,945.91
  5. Step 5: Solve for x
    x = 5,784,945.91/3,652.84
  6. Step 6: Final answer
    x = 1,583.68

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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.