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Finding the Fourth Proportional to 5,251.77, 7,878.03 and 1,964.79

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Solution

The fourth proportional to 5,251.77, 7,878.03 and 1,964.79 is: 2,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.77 : 7,878.03 = 1,964.79 : x
  2. Step 2: Convert to fraction form
    5,251.77/7,878.03 = 1,964.79/x
  3. Step 3: Cross multiply
    5,251.77x = 7,878.03 × 1,964.79
  4. Step 4: Simplify right side
    5,251.77x = 15,478,667.20
  5. Step 5: Solve for x
    x = 15,478,667.20/5,251.77
  6. Step 6: Final answer
    x = 2,947.32

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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.