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Finding the Fourth Proportional to 5,286.61, 7,946.97 and 4,258.09

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Solution

The fourth proportional to 5,286.61, 7,946.97 and 4,258.09 is: 6,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.61 : 7,946.97 = 4,258.09 : x
  2. Step 2: Convert to fraction form
    5,286.61/7,946.97 = 4,258.09/x
  3. Step 3: Cross multiply
    5,286.61x = 7,946.97 × 4,258.09
  4. Step 4: Simplify right side
    5,286.61x = 33,838,913.49
  5. Step 5: Solve for x
    x = 33,838,913.49/5,286.61
  6. Step 6: Final answer
    x = 6,400.87

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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.