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Finding the Fourth Proportional to 2,274, 3,138.12 and 1,342.50

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Solution

The fourth proportional to 2,274, 3,138.12 and 1,342.50 is: 1,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 3,138.12 = 1,342.50 : x
  2. Step 2: Convert to fraction form
    2,274/3,138.12 = 1,342.50/x
  3. Step 3: Cross multiply
    2,274x = 3,138.12 × 1,342.50
  4. Step 4: Simplify right side
    2,274x = 4,212,926.10
  5. Step 5: Solve for x
    x = 4,212,926.10/2,274
  6. Step 6: Final answer
    x = 1,852.65

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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.