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Finding the Fourth Proportional to 1,985.12, 2,976 and 1,214

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Solution

The fourth proportional to 1,985.12, 2,976 and 1,214 is: 1,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.12 : 2,976 = 1,214 : x
  2. Step 2: Convert to fraction form
    1,985.12/2,976 = 1,214/x
  3. Step 3: Cross multiply
    1,985.12x = 2,976 × 1,214
  4. Step 4: Simplify right side
    1,985.12x = 3,612,864
  5. Step 5: Solve for x
    x = 3,612,864/1,985.12
  6. Step 6: Final answer
    x = 1,819.97

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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.