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Finding the Fourth Proportional to 8,578.64, 12,865.33 and 3,313.24

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Solution

The fourth proportional to 8,578.64, 12,865.33 and 3,313.24 is: 4,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.64 : 12,865.33 = 3,313.24 : x
  2. Step 2: Convert to fraction form
    8,578.64/12,865.33 = 3,313.24/x
  3. Step 3: Cross multiply
    8,578.64x = 12,865.33 × 3,313.24
  4. Step 4: Simplify right side
    8,578.64x = 42,625,897.95
  5. Step 5: Solve for x
    x = 42,625,897.95/8,578.64
  6. Step 6: Final answer
    x = 4,968.84

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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.