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Finding the Fourth Proportional to 2,046, 3,067.80 and 1,388.70

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Solution

The fourth proportional to 2,046, 3,067.80 and 1,388.70 is: 2,082.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,067.80 = 1,388.70 : x
  2. Step 2: Convert to fraction form
    2,046/3,067.80 = 1,388.70/x
  3. Step 3: Cross multiply
    2,046x = 3,067.80 × 1,388.70
  4. Step 4: Simplify right side
    2,046x = 4,260,253.86
  5. Step 5: Solve for x
    x = 4,260,253.86/2,046
  6. Step 6: Final answer
    x = 2,082.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.