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Finding the Fourth Proportional to 1,959.83, 2,938.40 and 726.57

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Solution

The fourth proportional to 1,959.83, 2,938.40 and 726.57 is: 1,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.83 : 2,938.40 = 726.57 : x
  2. Step 2: Convert to fraction form
    1,959.83/2,938.40 = 726.57/x
  3. Step 3: Cross multiply
    1,959.83x = 2,938.40 × 726.57
  4. Step 4: Simplify right side
    1,959.83x = 2,134,949.66
  5. Step 5: Solve for x
    x = 2,134,949.66/1,959.83
  6. Step 6: Final answer
    x = 1,089.36

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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.