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Finding the Fourth Proportional to 1,959.52, 2,939.84 and 806.08

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Solution

The fourth proportional to 1,959.52, 2,939.84 and 806.08 is: 1,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.52 : 2,939.84 = 806.08 : x
  2. Step 2: Convert to fraction form
    1,959.52/2,939.84 = 806.08/x
  3. Step 3: Cross multiply
    1,959.52x = 2,939.84 × 806.08
  4. Step 4: Simplify right side
    1,959.52x = 2,369,746.23
  5. Step 5: Solve for x
    x = 2,369,746.23/1,959.52
  6. Step 6: Final answer
    x = 1,209.35

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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.