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Finding the Fourth Proportional to 17,711.92, 26,561.40 and 7,318

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Solution

The fourth proportional to 17,711.92, 26,561.40 and 7,318 is: 10,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.92 : 26,561.40 = 7,318 : x
  2. Step 2: Convert to fraction form
    17,711.92/26,561.40 = 7,318/x
  3. Step 3: Cross multiply
    17,711.92x = 26,561.40 × 7,318
  4. Step 4: Simplify right side
    17,711.92x = 194,376,325.20
  5. Step 5: Solve for x
    x = 194,376,325.20/17,711.92
  6. Step 6: Final answer
    x = 10,974.32

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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.