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Finding the Fourth Proportional to 7,316, 10,974 and 2,121.92

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Solution

The fourth proportional to 7,316, 10,974 and 2,121.92 is: 3,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 10,974 = 2,121.92 : x
  2. Step 2: Convert to fraction form
    7,316/10,974 = 2,121.92/x
  3. Step 3: Cross multiply
    7,316x = 10,974 × 2,121.92
  4. Step 4: Simplify right side
    7,316x = 23,285,950.08
  5. Step 5: Solve for x
    x = 23,285,950.08/7,316
  6. Step 6: Final answer
    x = 3,182.88

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Why These Related Problems?

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