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Finding the Fourth Proportional to 2,428.92, 3,643.79 and 969.30

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Solution

The fourth proportional to 2,428.92, 3,643.79 and 969.30 is: 1,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.92 : 3,643.79 = 969.30 : x
  2. Step 2: Convert to fraction form
    2,428.92/3,643.79 = 969.30/x
  3. Step 3: Cross multiply
    2,428.92x = 3,643.79 × 969.30
  4. Step 4: Simplify right side
    2,428.92x = 3,531,920.80
  5. Step 5: Solve for x
    x = 3,531,920.80/2,428.92
  6. Step 6: Final answer
    x = 1,454.11

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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.