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Finding the Fourth Proportional to 11,391.70, 15,716.16 and 6,913.84

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Solution

The fourth proportional to 11,391.70, 15,716.16 and 6,913.84 is: 9,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.70 : 15,716.16 = 6,913.84 : x
  2. Step 2: Convert to fraction form
    11,391.70/15,716.16 = 6,913.84/x
  3. Step 3: Cross multiply
    11,391.70x = 15,716.16 × 6,913.84
  4. Step 4: Simplify right side
    11,391.70x = 108,659,015.65
  5. Step 5: Solve for x
    x = 108,659,015.65/11,391.70
  6. Step 6: Final answer
    x = 9,538.44

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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.