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Finding the Fourth Proportional to 3,358.87, 5,036.28 and 1,971.54

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Solution

The fourth proportional to 3,358.87, 5,036.28 and 1,971.54 is: 2,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.87 : 5,036.28 = 1,971.54 : x
  2. Step 2: Convert to fraction form
    3,358.87/5,036.28 = 1,971.54/x
  3. Step 3: Cross multiply
    3,358.87x = 5,036.28 × 1,971.54
  4. Step 4: Simplify right side
    3,358.87x = 9,929,220.08
  5. Step 5: Solve for x
    x = 9,929,220.08/3,358.87
  6. Step 6: Final answer
    x = 2,956.12

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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.