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Finding the Fourth Proportional to 5,258.75, 7,889.49 and 1,971.90

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Solution

The fourth proportional to 5,258.75, 7,889.49 and 1,971.90 is: 2,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.75 : 7,889.49 = 1,971.90 : x
  2. Step 2: Convert to fraction form
    5,258.75/7,889.49 = 1,971.90/x
  3. Step 3: Cross multiply
    5,258.75x = 7,889.49 × 1,971.90
  4. Step 4: Simplify right side
    5,258.75x = 15,557,285.33
  5. Step 5: Solve for x
    x = 15,557,285.33/5,258.75
  6. Step 6: Final answer
    x = 2,958.36

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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.