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Finding the Fourth Proportional to 7,309.10, 10,965.28 and 3,411.38

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Solution

The fourth proportional to 7,309.10, 10,965.28 and 3,411.38 is: 5,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.10 : 10,965.28 = 3,411.38 : x
  2. Step 2: Convert to fraction form
    7,309.10/10,965.28 = 3,411.38/x
  3. Step 3: Cross multiply
    7,309.10x = 10,965.28 × 3,411.38
  4. Step 4: Simplify right side
    7,309.10x = 37,406,736.89
  5. Step 5: Solve for x
    x = 37,406,736.89/7,309.10
  6. Step 6: Final answer
    x = 5,117.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.