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Finding the Fourth Proportional to 10,419.78, 14,375.42 and 6,642.08

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Solution

The fourth proportional to 10,419.78, 14,375.42 and 6,642.08 is: 9,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.78 : 14,375.42 = 6,642.08 : x
  2. Step 2: Convert to fraction form
    10,419.78/14,375.42 = 6,642.08/x
  3. Step 3: Cross multiply
    10,419.78x = 14,375.42 × 6,642.08
  4. Step 4: Simplify right side
    10,419.78x = 95,482,584.59
  5. Step 5: Solve for x
    x = 95,482,584.59/10,419.78
  6. Step 6: Final answer
    x = 9,163.59

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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.