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Finding the Fourth Proportional to 6,855.81, 9,461.03 and 3,712

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Solution

The fourth proportional to 6,855.81, 9,461.03 and 3,712 is: 5,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.81 : 9,461.03 = 3,712 : x
  2. Step 2: Convert to fraction form
    6,855.81/9,461.03 = 3,712/x
  3. Step 3: Cross multiply
    6,855.81x = 9,461.03 × 3,712
  4. Step 4: Simplify right side
    6,855.81x = 35,119,324.80
  5. Step 5: Solve for x
    x = 35,119,324.80/6,855.81
  6. Step 6: Final answer
    x = 5,122.56

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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.