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Finding the Fourth Proportional to 2,678.76, 4,009.14 and 2,576.52

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Solution

The fourth proportional to 2,678.76, 4,009.14 and 2,576.52 is: 3,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.76 : 4,009.14 = 2,576.52 : x
  2. Step 2: Convert to fraction form
    2,678.76/4,009.14 = 2,576.52/x
  3. Step 3: Cross multiply
    2,678.76x = 4,009.14 × 2,576.52
  4. Step 4: Simplify right side
    2,678.76x = 10,329,629.39
  5. Step 5: Solve for x
    x = 10,329,629.39/2,678.76
  6. Step 6: Final answer
    x = 3,856.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.