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Finding the Fourth Proportional to 5,639.34, 8,459 and 2,867.92

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Solution

The fourth proportional to 5,639.34, 8,459 and 2,867.92 is: 4,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.34 : 8,459 = 2,867.92 : x
  2. Step 2: Convert to fraction form
    5,639.34/8,459 = 2,867.92/x
  3. Step 3: Cross multiply
    5,639.34x = 8,459 × 2,867.92
  4. Step 4: Simplify right side
    5,639.34x = 24,259,735.28
  5. Step 5: Solve for x
    x = 24,259,735.28/5,639.34
  6. Step 6: Final answer
    x = 4,301.87

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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.