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Finding the Fourth Proportional to 3,205.61, 4,808.01 and 865.79

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Solution

The fourth proportional to 3,205.61, 4,808.01 and 865.79 is: 1,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.61 : 4,808.01 = 865.79 : x
  2. Step 2: Convert to fraction form
    3,205.61/4,808.01 = 865.79/x
  3. Step 3: Cross multiply
    3,205.61x = 4,808.01 × 865.79
  4. Step 4: Simplify right side
    3,205.61x = 4,162,726.98
  5. Step 5: Solve for x
    x = 4,162,726.98/3,205.61
  6. Step 6: Final answer
    x = 1,298.58

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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.