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Finding the Fourth Proportional to 8,578.78, 12,866.10 and 3,648.40

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Solution

The fourth proportional to 8,578.78, 12,866.10 and 3,648.40 is: 5,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.78 : 12,866.10 = 3,648.40 : x
  2. Step 2: Convert to fraction form
    8,578.78/12,866.10 = 3,648.40/x
  3. Step 3: Cross multiply
    8,578.78x = 12,866.10 × 3,648.40
  4. Step 4: Simplify right side
    8,578.78x = 46,940,679.24
  5. Step 5: Solve for x
    x = 46,940,679.24/8,578.78
  6. Step 6: Final answer
    x = 5,471.72

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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.