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Finding the Fourth Proportional to 3,054.38, 4,221.12 and 2,308

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Solution

The fourth proportional to 3,054.38, 4,221.12 and 2,308 is: 3,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.38 : 4,221.12 = 2,308 : x
  2. Step 2: Convert to fraction form
    3,054.38/4,221.12 = 2,308/x
  3. Step 3: Cross multiply
    3,054.38x = 4,221.12 × 2,308
  4. Step 4: Simplify right side
    3,054.38x = 9,742,344.96
  5. Step 5: Solve for x
    x = 9,742,344.96/3,054.38
  6. Step 6: Final answer
    x = 3,189.63

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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.