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Finding the Fourth Proportional to 2,689.42, 3,712.08 and 1,641.82

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Solution

The fourth proportional to 2,689.42, 3,712.08 and 1,641.82 is: 2,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.42 : 3,712.08 = 1,641.82 : x
  2. Step 2: Convert to fraction form
    2,689.42/3,712.08 = 1,641.82/x
  3. Step 3: Cross multiply
    2,689.42x = 3,712.08 × 1,641.82
  4. Step 4: Simplify right side
    2,689.42x = 6,094,567.19
  5. Step 5: Solve for x
    x = 6,094,567.19/2,689.42
  6. Step 6: Final answer
    x = 2,266.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.