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Finding the Fourth Proportional to 2,691.04, 3,713.16 and 1,643.44

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Solution

The fourth proportional to 2,691.04, 3,713.16 and 1,643.44 is: 2,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.04 : 3,713.16 = 1,643.44 : x
  2. Step 2: Convert to fraction form
    2,691.04/3,713.16 = 1,643.44/x
  3. Step 3: Cross multiply
    2,691.04x = 3,713.16 × 1,643.44
  4. Step 4: Simplify right side
    2,691.04x = 6,102,355.67
  5. Step 5: Solve for x
    x = 6,102,355.67/2,691.04
  6. Step 6: Final answer
    x = 2,267.66

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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.