Home / 10,088.50-13,923.24-5,782

Finding the Fourth Proportional to 10,088.50, 13,923.24 and 5,782

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Solution

The fourth proportional to 10,088.50, 13,923.24 and 5,782 is: 7,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.50 : 13,923.24 = 5,782 : x
  2. Step 2: Convert to fraction form
    10,088.50/13,923.24 = 5,782/x
  3. Step 3: Cross multiply
    10,088.50x = 13,923.24 × 5,782
  4. Step 4: Simplify right side
    10,088.50x = 80,504,173.68
  5. Step 5: Solve for x
    x = 80,504,173.68/10,088.50
  6. Step 6: Final answer
    x = 7,979.80

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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.