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Finding the Fourth Proportional to 4,568.78, 6,855.91 and 1,971.71

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Solution

The fourth proportional to 4,568.78, 6,855.91 and 1,971.71 is: 2,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.78 : 6,855.91 = 1,971.71 : x
  2. Step 2: Convert to fraction form
    4,568.78/6,855.91 = 1,971.71/x
  3. Step 3: Cross multiply
    4,568.78x = 6,855.91 × 1,971.71
  4. Step 4: Simplify right side
    4,568.78x = 13,517,856.45
  5. Step 5: Solve for x
    x = 13,517,856.45/4,568.78
  6. Step 6: Final answer
    x = 2,958.75

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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.