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Finding the Fourth Proportional to 2,641, 3,641.27 and 1,695.13

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Solution

The fourth proportional to 2,641, 3,641.27 and 1,695.13 is: 2,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641 : 3,641.27 = 1,695.13 : x
  2. Step 2: Convert to fraction form
    2,641/3,641.27 = 1,695.13/x
  3. Step 3: Cross multiply
    2,641x = 3,641.27 × 1,695.13
  4. Step 4: Simplify right side
    2,641x = 6,172,399.33
  5. Step 5: Solve for x
    x = 6,172,399.33/2,641
  6. Step 6: Final answer
    x = 2,337.14

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1.5x scale

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.