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Finding the Fourth Proportional to 10,640.88, 14,680.42 and 6,163.00

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Solution

The fourth proportional to 10,640.88, 14,680.42 and 6,163.00 is: 8,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.88 : 14,680.42 = 6,163.00 : x
  2. Step 2: Convert to fraction form
    10,640.88/14,680.42 = 6,163.00/x
  3. Step 3: Cross multiply
    10,640.88x = 14,680.42 × 6,163.00
  4. Step 4: Simplify right side
    10,640.88x = 90,475,376.35
  5. Step 5: Solve for x
    x = 90,475,376.35/10,640.88
  6. Step 6: Final answer
    x = 8,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.