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Finding the Fourth Proportional to 1,959.31, 2,934.28 and 1,590.13

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Solution

The fourth proportional to 1,959.31, 2,934.28 and 1,590.13 is: 2,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.31 : 2,934.28 = 1,590.13 : x
  2. Step 2: Convert to fraction form
    1,959.31/2,934.28 = 1,590.13/x
  3. Step 3: Cross multiply
    1,959.31x = 2,934.28 × 1,590.13
  4. Step 4: Simplify right side
    1,959.31x = 4,665,886.66
  5. Step 5: Solve for x
    x = 4,665,886.66/1,959.31
  6. Step 6: Final answer
    x = 2,381.39

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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.