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Finding the Fourth Proportional to 1,978.08, 2,965.68 and 1,209.12

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Solution

The fourth proportional to 1,978.08, 2,965.68 and 1,209.12 is: 1,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.08 : 2,965.68 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    1,978.08/2,965.68 = 1,209.12/x
  3. Step 3: Cross multiply
    1,978.08x = 2,965.68 × 1,209.12
  4. Step 4: Simplify right side
    1,978.08x = 3,585,863.00
  5. Step 5: Solve for x
    x = 3,585,863.00/1,978.08
  6. Step 6: Final answer
    x = 1,812.80

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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.