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Finding the Fourth Proportional to 6,906.51, 9,531 and 3,762.90

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Solution

The fourth proportional to 6,906.51, 9,531 and 3,762.90 is: 5,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.51 : 9,531 = 3,762.90 : x
  2. Step 2: Convert to fraction form
    6,906.51/9,531 = 3,762.90/x
  3. Step 3: Cross multiply
    6,906.51x = 9,531 × 3,762.90
  4. Step 4: Simplify right side
    6,906.51x = 35,864,199.90
  5. Step 5: Solve for x
    x = 35,864,199.90/6,906.51
  6. Step 6: Final answer
    x = 5,192.81

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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.