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Finding the Fourth Proportional to 5,258.99, 7,891.50 and 2,138.42

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Solution

The fourth proportional to 5,258.99, 7,891.50 and 2,138.42 is: 3,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.99 : 7,891.50 = 2,138.42 : x
  2. Step 2: Convert to fraction form
    5,258.99/7,891.50 = 2,138.42/x
  3. Step 3: Cross multiply
    5,258.99x = 7,891.50 × 2,138.42
  4. Step 4: Simplify right side
    5,258.99x = 16,875,341.43
  5. Step 5: Solve for x
    x = 16,875,341.43/5,258.99
  6. Step 6: Final answer
    x = 3,208.86

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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.