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Finding the Fourth Proportional to 7,206, 9,944.28 and 3,894

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Solution

The fourth proportional to 7,206, 9,944.28 and 3,894 is: 5,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 9,944.28 = 3,894 : x
  2. Step 2: Convert to fraction form
    7,206/9,944.28 = 3,894/x
  3. Step 3: Cross multiply
    7,206x = 9,944.28 × 3,894
  4. Step 4: Simplify right side
    7,206x = 38,723,026.32
  5. Step 5: Solve for x
    x = 38,723,026.32/7,206
  6. Step 6: Final answer
    x = 5,373.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.