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Finding the Fourth Proportional to 9,696.96, 13,378.50 and 5,919.12

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Solution

The fourth proportional to 9,696.96, 13,378.50 and 5,919.12 is: 8,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.96 : 13,378.50 = 5,919.12 : x
  2. Step 2: Convert to fraction form
    9,696.96/13,378.50 = 5,919.12/x
  3. Step 3: Cross multiply
    9,696.96x = 13,378.50 × 5,919.12
  4. Step 4: Simplify right side
    9,696.96x = 79,188,946.92
  5. Step 5: Solve for x
    x = 79,188,946.92/9,696.96
  6. Step 6: Final answer
    x = 8,166.37

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1.5x scale

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.