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Finding the Fourth Proportional to 4,139, 5,711.82 and 2,276

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Solution

The fourth proportional to 4,139, 5,711.82 and 2,276 is: 3,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139 : 5,711.82 = 2,276 : x
  2. Step 2: Convert to fraction form
    4,139/5,711.82 = 2,276/x
  3. Step 3: Cross multiply
    4,139x = 5,711.82 × 2,276
  4. Step 4: Simplify right side
    4,139x = 13,000,102.32
  5. Step 5: Solve for x
    x = 13,000,102.32/4,139
  6. Step 6: Final answer
    x = 3,140.88

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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.