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Finding the Fourth Proportional to 5,639.50, 8,461.68 and 3,331

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Solution

The fourth proportional to 5,639.50, 8,461.68 and 3,331 is: 4,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.50 : 8,461.68 = 3,331 : x
  2. Step 2: Convert to fraction form
    5,639.50/8,461.68 = 3,331/x
  3. Step 3: Cross multiply
    5,639.50x = 8,461.68 × 3,331
  4. Step 4: Simplify right side
    5,639.50x = 28,185,856.08
  5. Step 5: Solve for x
    x = 28,185,856.08/5,639.50
  6. Step 6: Final answer
    x = 4,997.94

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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.