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Finding the Fourth Proportional to 2,691.42, 3,712.12 and 1,805.68

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Solution

The fourth proportional to 2,691.42, 3,712.12 and 1,805.68 is: 2,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.42 : 3,712.12 = 1,805.68 : x
  2. Step 2: Convert to fraction form
    2,691.42/3,712.12 = 1,805.68/x
  3. Step 3: Cross multiply
    2,691.42x = 3,712.12 × 1,805.68
  4. Step 4: Simplify right side
    2,691.42x = 6,702,900.84
  5. Step 5: Solve for x
    x = 6,702,900.84/2,691.42
  6. Step 6: Final answer
    x = 2,490.47

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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.