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Finding the Fourth Proportional to 3,308.76, 4,965.11 and 1,228.95

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Solution

The fourth proportional to 3,308.76, 4,965.11 and 1,228.95 is: 1,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.76 : 4,965.11 = 1,228.95 : x
  2. Step 2: Convert to fraction form
    3,308.76/4,965.11 = 1,228.95/x
  3. Step 3: Cross multiply
    3,308.76x = 4,965.11 × 1,228.95
  4. Step 4: Simplify right side
    3,308.76x = 6,101,875.01
  5. Step 5: Solve for x
    x = 6,101,875.01/3,308.76
  6. Step 6: Final answer
    x = 1,844.16

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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.