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Finding the Fourth Proportional to 6,384.46, 9,579.12 and 2,489.17

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Solution

The fourth proportional to 6,384.46, 9,579.12 and 2,489.17 is: 3,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.46 : 9,579.12 = 2,489.17 : x
  2. Step 2: Convert to fraction form
    6,384.46/9,579.12 = 2,489.17/x
  3. Step 3: Cross multiply
    6,384.46x = 9,579.12 × 2,489.17
  4. Step 4: Simplify right side
    6,384.46x = 23,844,058.13
  5. Step 5: Solve for x
    x = 23,844,058.13/6,384.46
  6. Step 6: Final answer
    x = 3,734.70

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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.