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Finding the Fourth Proportional to 2,104.57, 3,156.95 and 805.95

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Solution

The fourth proportional to 2,104.57, 3,156.95 and 805.95 is: 1,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.57 : 3,156.95 = 805.95 : x
  2. Step 2: Convert to fraction form
    2,104.57/3,156.95 = 805.95/x
  3. Step 3: Cross multiply
    2,104.57x = 3,156.95 × 805.95
  4. Step 4: Simplify right side
    2,104.57x = 2,544,330.08
  5. Step 5: Solve for x
    x = 2,544,330.08/2,104.57
  6. Step 6: Final answer
    x = 1,208.95

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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.