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Finding the Fourth Proportional to 8,003.19, 12,005 and 2,159.79

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Solution

The fourth proportional to 8,003.19, 12,005 and 2,159.79 is: 3,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.19 : 12,005 = 2,159.79 : x
  2. Step 2: Convert to fraction form
    8,003.19/12,005 = 2,159.79/x
  3. Step 3: Cross multiply
    8,003.19x = 12,005 × 2,159.79
  4. Step 4: Simplify right side
    8,003.19x = 25,928,278.95
  5. Step 5: Solve for x
    x = 25,928,278.95/8,003.19
  6. Step 6: Final answer
    x = 3,239.74

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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.