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Finding the Fourth Proportional to 7,805.40, 10,771.02 and 5,939.16

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Solution

The fourth proportional to 7,805.40, 10,771.02 and 5,939.16 is: 8,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.40 : 10,771.02 = 5,939.16 : x
  2. Step 2: Convert to fraction form
    7,805.40/10,771.02 = 5,939.16/x
  3. Step 3: Cross multiply
    7,805.40x = 10,771.02 × 5,939.16
  4. Step 4: Simplify right side
    7,805.40x = 63,970,811.14
  5. Step 5: Solve for x
    x = 63,970,811.14/7,805.40
  6. Step 6: Final answer
    x = 8,195.71

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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.