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Finding the Fourth Proportional to 7,545.36, 11,315.64 and 3,162

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Solution

The fourth proportional to 7,545.36, 11,315.64 and 3,162 is: 4,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.36 : 11,315.64 = 3,162 : x
  2. Step 2: Convert to fraction form
    7,545.36/11,315.64 = 3,162/x
  3. Step 3: Cross multiply
    7,545.36x = 11,315.64 × 3,162
  4. Step 4: Simplify right side
    7,545.36x = 35,780,053.68
  5. Step 5: Solve for x
    x = 35,780,053.68/7,545.36
  6. Step 6: Final answer
    x = 4,741.99

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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.