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Finding the Fourth Proportional to 2,046.76, 3,069 and 1,214.16

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Solution

The fourth proportional to 2,046.76, 3,069 and 1,214.16 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.76 : 3,069 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    2,046.76/3,069 = 1,214.16/x
  3. Step 3: Cross multiply
    2,046.76x = 3,069 × 1,214.16
  4. Step 4: Simplify right side
    2,046.76x = 3,726,257.04
  5. Step 5: Solve for x
    x = 3,726,257.04/2,046.76
  6. Step 6: Final answer
    x = 1,820.56

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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.