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Finding the Fourth Proportional to 8,649.61, 12,976.24 and 2,805.77

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Solution

The fourth proportional to 8,649.61, 12,976.24 and 2,805.77 is: 4,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.61 : 12,976.24 = 2,805.77 : x
  2. Step 2: Convert to fraction form
    8,649.61/12,976.24 = 2,805.77/x
  3. Step 3: Cross multiply
    8,649.61x = 12,976.24 × 2,805.77
  4. Step 4: Simplify right side
    8,649.61x = 36,408,344.90
  5. Step 5: Solve for x
    x = 36,408,344.90/8,649.61
  6. Step 6: Final answer
    x = 4,209.25

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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.