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Finding the Fourth Proportional to 3,205.88, 4,808.48 and 865.78

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Solution

The fourth proportional to 3,205.88, 4,808.48 and 865.78 is: 1,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.88 : 4,808.48 = 865.78 : x
  2. Step 2: Convert to fraction form
    3,205.88/4,808.48 = 865.78/x
  3. Step 3: Cross multiply
    3,205.88x = 4,808.48 × 865.78
  4. Step 4: Simplify right side
    3,205.88x = 4,163,085.81
  5. Step 5: Solve for x
    x = 4,163,085.81/3,205.88
  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.