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Finding the Fourth Proportional to 5,776.31, 7,971.80 and 3,258.29

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Solution

The fourth proportional to 5,776.31, 7,971.80 and 3,258.29 is: 4,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.31 : 7,971.80 = 3,258.29 : x
  2. Step 2: Convert to fraction form
    5,776.31/7,971.80 = 3,258.29/x
  3. Step 3: Cross multiply
    5,776.31x = 7,971.80 × 3,258.29
  4. Step 4: Simplify right side
    5,776.31x = 25,974,439.86
  5. Step 5: Solve for x
    x = 25,974,439.86/5,776.31
  6. Step 6: Final answer
    x = 4,496.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.