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Finding the Fourth Proportional to 7,125.28, 10,678.62 and 3,834.51

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Solution

The fourth proportional to 7,125.28, 10,678.62 and 3,834.51 is: 5,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.28 : 10,678.62 = 3,834.51 : x
  2. Step 2: Convert to fraction form
    7,125.28/10,678.62 = 3,834.51/x
  3. Step 3: Cross multiply
    7,125.28x = 10,678.62 × 3,834.51
  4. Step 4: Simplify right side
    7,125.28x = 40,947,249.51
  5. Step 5: Solve for x
    x = 40,947,249.51/7,125.28
  6. Step 6: Final answer
    x = 5,746.76

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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.