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Finding the Fourth Proportional to 2,641.91, 3,646.09 and 1,758

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Solution

The fourth proportional to 2,641.91, 3,646.09 and 1,758 is: 2,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.91 : 3,646.09 = 1,758 : x
  2. Step 2: Convert to fraction form
    2,641.91/3,646.09 = 1,758/x
  3. Step 3: Cross multiply
    2,641.91x = 3,646.09 × 1,758
  4. Step 4: Simplify right side
    2,641.91x = 6,409,826.22
  5. Step 5: Solve for x
    x = 6,409,826.22/2,641.91
  6. Step 6: Final answer
    x = 2,426.21

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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.