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Finding the Fourth Proportional to 11,894.40, 17,834.40 and 5,319.36

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Solution

The fourth proportional to 11,894.40, 17,834.40 and 5,319.36 is: 7,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.40 : 17,834.40 = 5,319.36 : x
  2. Step 2: Convert to fraction form
    11,894.40/17,834.40 = 5,319.36/x
  3. Step 3: Cross multiply
    11,894.40x = 17,834.40 × 5,319.36
  4. Step 4: Simplify right side
    11,894.40x = 94,867,593.98
  5. Step 5: Solve for x
    x = 94,867,593.98/11,894.40
  6. Step 6: Final answer
    x = 7,975.82

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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.