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Finding the Fourth Proportional to 8,926, 13,389 and 6,462.04

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Solution

The fourth proportional to 8,926, 13,389 and 6,462.04 is: 9,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926 : 13,389 = 6,462.04 : x
  2. Step 2: Convert to fraction form
    8,926/13,389 = 6,462.04/x
  3. Step 3: Cross multiply
    8,926x = 13,389 × 6,462.04
  4. Step 4: Simplify right side
    8,926x = 86,520,253.56
  5. Step 5: Solve for x
    x = 86,520,253.56/8,926
  6. Step 6: Final answer
    x = 9,693.06

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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.