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Finding the Fourth Proportional to 7,167.42, 9,891.65 and 4,184.21

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Solution

The fourth proportional to 7,167.42, 9,891.65 and 4,184.21 is: 5,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.42 : 9,891.65 = 4,184.21 : x
  2. Step 2: Convert to fraction form
    7,167.42/9,891.65 = 4,184.21/x
  3. Step 3: Cross multiply
    7,167.42x = 9,891.65 × 4,184.21
  4. Step 4: Simplify right side
    7,167.42x = 41,388,720.40
  5. Step 5: Solve for x
    x = 41,388,720.40/7,167.42
  6. Step 6: Final answer
    x = 5,774.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.