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Finding the Fourth Proportional to 6,468.40, 8,926 and 3,816.64

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Solution

The fourth proportional to 6,468.40, 8,926 and 3,816.64 is: 5,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.40 : 8,926 = 3,816.64 : x
  2. Step 2: Convert to fraction form
    6,468.40/8,926 = 3,816.64/x
  3. Step 3: Cross multiply
    6,468.40x = 8,926 × 3,816.64
  4. Step 4: Simplify right side
    6,468.40x = 34,067,328.64
  5. Step 5: Solve for x
    x = 34,067,328.64/6,468.40
  6. Step 6: Final answer
    x = 5,266.73

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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.