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Finding the Fourth Proportional to 8,644.80, 12,965.77 and 3,097.32

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Solution

The fourth proportional to 8,644.80, 12,965.77 and 3,097.32 is: 4,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.80 : 12,965.77 = 3,097.32 : x
  2. Step 2: Convert to fraction form
    8,644.80/12,965.77 = 3,097.32/x
  3. Step 3: Cross multiply
    8,644.80x = 12,965.77 × 3,097.32
  4. Step 4: Simplify right side
    8,644.80x = 40,159,138.74
  5. Step 5: Solve for x
    x = 40,159,138.74/8,644.80
  6. Step 6: Final answer
    x = 4,645.47

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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.