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Finding the Fourth Proportional to 3,054, 4,212.84 and 2,171.12

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Solution

The fourth proportional to 3,054, 4,212.84 and 2,171.12 is: 2,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 4,212.84 = 2,171.12 : x
  2. Step 2: Convert to fraction form
    3,054/4,212.84 = 2,171.12/x
  3. Step 3: Cross multiply
    3,054x = 4,212.84 × 2,171.12
  4. Step 4: Simplify right side
    3,054x = 9,146,581.18
  5. Step 5: Solve for x
    x = 9,146,581.18/3,054
  6. Step 6: Final answer
    x = 2,994.95

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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.