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Finding the Fourth Proportional to 7,923, 10,923.80 and 5,085.36

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Solution

The fourth proportional to 7,923, 10,923.80 and 5,085.36 is: 7,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923 : 10,923.80 = 5,085.36 : x
  2. Step 2: Convert to fraction form
    7,923/10,923.80 = 5,085.36/x
  3. Step 3: Cross multiply
    7,923x = 10,923.80 × 5,085.36
  4. Step 4: Simplify right side
    7,923x = 55,551,455.57
  5. Step 5: Solve for x
    x = 55,551,455.57/7,923
  6. Step 6: Final answer
    x = 7,011.42

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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.