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Finding the Fourth Proportional to 5,251.74, 7,881.08 and 1,964.82

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Solution

The fourth proportional to 5,251.74, 7,881.08 and 1,964.82 is: 2,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.74 : 7,881.08 = 1,964.82 : x
  2. Step 2: Convert to fraction form
    5,251.74/7,881.08 = 1,964.82/x
  3. Step 3: Cross multiply
    5,251.74x = 7,881.08 × 1,964.82
  4. Step 4: Simplify right side
    5,251.74x = 15,484,934.39
  5. Step 5: Solve for x
    x = 15,484,934.39/5,251.74
  6. Step 6: Final answer
    x = 2,948.54

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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.