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Finding the Fourth Proportional to 6,639.92, 9,964.41 and 4,301

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Solution

The fourth proportional to 6,639.92, 9,964.41 and 4,301 is: 6,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.92 : 9,964.41 = 4,301 : x
  2. Step 2: Convert to fraction form
    6,639.92/9,964.41 = 4,301/x
  3. Step 3: Cross multiply
    6,639.92x = 9,964.41 × 4,301
  4. Step 4: Simplify right side
    6,639.92x = 42,856,927.41
  5. Step 5: Solve for x
    x = 42,856,927.41/6,639.92
  6. Step 6: Final answer
    x = 6,454.43

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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.