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Finding the Fourth Proportional to 5,251.32, 7,878.09 and 4,391.64

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Solution

The fourth proportional to 5,251.32, 7,878.09 and 4,391.64 is: 6,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.32 : 7,878.09 = 4,391.64 : x
  2. Step 2: Convert to fraction form
    5,251.32/7,878.09 = 4,391.64/x
  3. Step 3: Cross multiply
    5,251.32x = 7,878.09 × 4,391.64
  4. Step 4: Simplify right side
    5,251.32x = 34,597,735.17
  5. Step 5: Solve for x
    x = 34,597,735.17/5,251.32
  6. Step 6: Final answer
    x = 6,588.39

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1.5x scale

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.