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Finding the Fourth Proportional to 7,035.42, 9,709.29 and 3,891.90

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Solution

The fourth proportional to 7,035.42, 9,709.29 and 3,891.90 is: 5,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.42 : 9,709.29 = 3,891.90 : x
  2. Step 2: Convert to fraction form
    7,035.42/9,709.29 = 3,891.90/x
  3. Step 3: Cross multiply
    7,035.42x = 9,709.29 × 3,891.90
  4. Step 4: Simplify right side
    7,035.42x = 37,787,585.75
  5. Step 5: Solve for x
    x = 37,787,585.75/7,035.42
  6. Step 6: Final answer
    x = 5,371.05

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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.