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Finding the Fourth Proportional to 2,689.38, 3,712.09 and 1,892.88

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Solution

The fourth proportional to 2,689.38, 3,712.09 and 1,892.88 is: 2,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.38 : 3,712.09 = 1,892.88 : x
  2. Step 2: Convert to fraction form
    2,689.38/3,712.09 = 1,892.88/x
  3. Step 3: Cross multiply
    2,689.38x = 3,712.09 × 1,892.88
  4. Step 4: Simplify right side
    2,689.38x = 7,026,536.19
  5. Step 5: Solve for x
    x = 7,026,536.19/2,689.38
  6. Step 6: Final answer
    x = 2,612.70

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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.