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Finding the Fourth Proportional to 2,214, 3,056.04 and 1,282.32

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Solution

The fourth proportional to 2,214, 3,056.04 and 1,282.32 is: 1,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,056.04 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    2,214/3,056.04 = 1,282.32/x
  3. Step 3: Cross multiply
    2,214x = 3,056.04 × 1,282.32
  4. Step 4: Simplify right side
    2,214x = 3,918,821.21
  5. Step 5: Solve for x
    x = 3,918,821.21/2,214
  6. Step 6: Final answer
    x = 1,770.02

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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.