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Finding the Fourth Proportional to 7,175.01, 10,731.04 and 6,389.91

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Solution

The fourth proportional to 7,175.01, 10,731.04 and 6,389.91 is: 9,556.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.01 : 10,731.04 = 6,389.91 : x
  2. Step 2: Convert to fraction form
    7,175.01/10,731.04 = 6,389.91/x
  3. Step 3: Cross multiply
    7,175.01x = 10,731.04 × 6,389.91
  4. Step 4: Simplify right side
    7,175.01x = 68,570,379.81
  5. Step 5: Solve for x
    x = 68,570,379.81/7,175.01
  6. Step 6: Final answer
    x = 9,556.83

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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.