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Finding the Fourth Proportional to 9,175.29, 12,662.70 and 5,816.88

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Solution

The fourth proportional to 9,175.29, 12,662.70 and 5,816.88 is: 8,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.29 : 12,662.70 = 5,816.88 : x
  2. Step 2: Convert to fraction form
    9,175.29/12,662.70 = 5,816.88/x
  3. Step 3: Cross multiply
    9,175.29x = 12,662.70 × 5,816.88
  4. Step 4: Simplify right side
    9,175.29x = 73,657,406.38
  5. Step 5: Solve for x
    x = 73,657,406.38/9,175.29
  6. Step 6: Final answer
    x = 8,027.80

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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.