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Finding the Fourth Proportional to 7,889,471.68, 11,834,545.20 and 3,098,197.66

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Solution

The fourth proportional to 7,889,471.68, 11,834,545.20 and 3,098,197.66 is: 4,647,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889,471.68 : 11,834,545.20 = 3,098,197.66 : x
  2. Step 2: Convert to fraction form
    7,889,471.68/11,834,545.20 = 3,098,197.66/x
  3. Step 3: Cross multiply
    7,889,471.68x = 11,834,545.20 × 3,098,197.66
  4. Step 4: Simplify right side
    7,889,471.68x = 36,665,760,245,804.23
  5. Step 5: Solve for x
    x = 36,665,760,245,804.23/7,889,471.68
  6. Step 6: Final answer
    x = 4,647,429.10

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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.