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Finding the Fourth Proportional to 9,812.63, 14,698.89 and 8,163.87

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Solution

The fourth proportional to 9,812.63, 14,698.89 and 8,163.87 is: 12,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.63 : 14,698.89 = 8,163.87 : x
  2. Step 2: Convert to fraction form
    9,812.63/14,698.89 = 8,163.87/x
  3. Step 3: Cross multiply
    9,812.63x = 14,698.89 × 8,163.87
  4. Step 4: Simplify right side
    9,812.63x = 119,999,827.10
  5. Step 5: Solve for x
    x = 119,999,827.10/9,812.63
  6. Step 6: Final answer
    x = 12,229.13

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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.