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Finding the Fourth Proportional to 3,497.78, 4,826.28 and 2,171.81

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Solution

The fourth proportional to 3,497.78, 4,826.28 and 2,171.81 is: 2,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.78 : 4,826.28 = 2,171.81 : x
  2. Step 2: Convert to fraction form
    3,497.78/4,826.28 = 2,171.81/x
  3. Step 3: Cross multiply
    3,497.78x = 4,826.28 × 2,171.81
  4. Step 4: Simplify right side
    3,497.78x = 10,481,783.38
  5. Step 5: Solve for x
    x = 10,481,783.38/3,497.78
  6. Step 6: Final answer
    x = 2,996.69

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1.5x scale

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.