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Finding the Fourth Proportional to 5,718.30, 8,578.08 and 1,821.78

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Solution

The fourth proportional to 5,718.30, 8,578.08 and 1,821.78 is: 2,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.30 : 8,578.08 = 1,821.78 : x
  2. Step 2: Convert to fraction form
    5,718.30/8,578.08 = 1,821.78/x
  3. Step 3: Cross multiply
    5,718.30x = 8,578.08 × 1,821.78
  4. Step 4: Simplify right side
    5,718.30x = 15,627,374.58
  5. Step 5: Solve for x
    x = 15,627,374.58/5,718.30
  6. Step 6: Final answer
    x = 2,732.87

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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.