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Finding the Fourth Proportional to 6,862, 9,469.56 and 3,718.20

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Solution

The fourth proportional to 6,862, 9,469.56 and 3,718.20 is: 5,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862 : 9,469.56 = 3,718.20 : x
  2. Step 2: Convert to fraction form
    6,862/9,469.56 = 3,718.20/x
  3. Step 3: Cross multiply
    6,862x = 9,469.56 × 3,718.20
  4. Step 4: Simplify right side
    6,862x = 35,209,717.99
  5. Step 5: Solve for x
    x = 35,209,717.99/6,862
  6. Step 6: Final answer
    x = 5,131.12

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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.