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Finding the Fourth Proportional to 2,679.84, 3,691.20 and 1,892.48

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Solution

The fourth proportional to 2,679.84, 3,691.20 and 1,892.48 is: 2,606.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.84 : 3,691.20 = 1,892.48 : x
  2. Step 2: Convert to fraction form
    2,679.84/3,691.20 = 1,892.48/x
  3. Step 3: Cross multiply
    2,679.84x = 3,691.20 × 1,892.48
  4. Step 4: Simplify right side
    2,679.84x = 6,985,522.18
  5. Step 5: Solve for x
    x = 6,985,522.18/2,679.84
  6. Step 6: Final answer
    x = 2,606.69

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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.