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Finding the Fourth Proportional to 2,205.68, 3,310.12 and 1,280.00

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Solution

The fourth proportional to 2,205.68, 3,310.12 and 1,280.00 is: 1,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.68 : 3,310.12 = 1,280.00 : x
  2. Step 2: Convert to fraction form
    2,205.68/3,310.12 = 1,280.00/x
  3. Step 3: Cross multiply
    2,205.68x = 3,310.12 × 1,280.00
  4. Step 4: Simplify right side
    2,205.68x = 4,236,956.28
  5. Step 5: Solve for x
    x = 4,236,956.28/2,205.68
  6. Step 6: Final answer
    x = 1,920.93

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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.