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Finding the Fourth Proportional to 8,649.86, 12,972.80 and 3,385.00

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Solution

The fourth proportional to 8,649.86, 12,972.80 and 3,385.00 is: 5,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.86 : 12,972.80 = 3,385.00 : x
  2. Step 2: Convert to fraction form
    8,649.86/12,972.80 = 3,385.00/x
  3. Step 3: Cross multiply
    8,649.86x = 12,972.80 × 3,385.00
  4. Step 4: Simplify right side
    8,649.86x = 43,912,904.03
  5. Step 5: Solve for x
    x = 43,912,904.03/8,649.86
  6. Step 6: Final answer
    x = 5,076.72

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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.