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Finding the Fourth Proportional to 8,578.71, 12,866.85 and 3,645.81

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Solution

The fourth proportional to 8,578.71, 12,866.85 and 3,645.81 is: 5,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.71 : 12,866.85 = 3,645.81 : x
  2. Step 2: Convert to fraction form
    8,578.71/12,866.85 = 3,645.81/x
  3. Step 3: Cross multiply
    8,578.71x = 12,866.85 × 3,645.81
  4. Step 4: Simplify right side
    8,578.71x = 46,910,090.40
  5. Step 5: Solve for x
    x = 46,910,090.40/8,578.71
  6. Step 6: Final answer
    x = 5,468.20

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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.