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Finding the Fourth Proportional to 2,691.63, 4,038.26 and 843.01

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Solution

The fourth proportional to 2,691.63, 4,038.26 and 843.01 is: 1,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.63 : 4,038.26 = 843.01 : x
  2. Step 2: Convert to fraction form
    2,691.63/4,038.26 = 843.01/x
  3. Step 3: Cross multiply
    2,691.63x = 4,038.26 × 843.01
  4. Step 4: Simplify right side
    2,691.63x = 3,404,279.25
  5. Step 5: Solve for x
    x = 3,404,279.25/2,691.63
  6. Step 6: Final answer
    x = 1,264.76

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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.