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Finding the Fourth Proportional to 7,308.29, 10,086.42 and 4,122.24

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Solution

The fourth proportional to 7,308.29, 10,086.42 and 4,122.24 is: 5,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.29 : 10,086.42 = 4,122.24 : x
  2. Step 2: Convert to fraction form
    7,308.29/10,086.42 = 4,122.24/x
  3. Step 3: Cross multiply
    7,308.29x = 10,086.42 × 4,122.24
  4. Step 4: Simplify right side
    7,308.29x = 41,578,572.94
  5. Step 5: Solve for x
    x = 41,578,572.94/7,308.29
  6. Step 6: Final answer
    x = 5,689.24

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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.