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Finding the Fourth Proportional to 1,959.63, 2,686.76 and 1,924.55

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Solution

The fourth proportional to 1,959.63, 2,686.76 and 1,924.55 is: 2,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.63 : 2,686.76 = 1,924.55 : x
  2. Step 2: Convert to fraction form
    1,959.63/2,686.76 = 1,924.55/x
  3. Step 3: Cross multiply
    1,959.63x = 2,686.76 × 1,924.55
  4. Step 4: Simplify right side
    1,959.63x = 5,170,780.90
  5. Step 5: Solve for x
    x = 5,170,780.90/1,959.63
  6. Step 6: Final answer
    x = 2,638.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.