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Finding the Fourth Proportional to 7,807.57, 11,711.37 and 3,190.57

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Solution

The fourth proportional to 7,807.57, 11,711.37 and 3,190.57 is: 4,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.57 : 11,711.37 = 3,190.57 : x
  2. Step 2: Convert to fraction form
    7,807.57/11,711.37 = 3,190.57/x
  3. Step 3: Cross multiply
    7,807.57x = 11,711.37 × 3,190.57
  4. Step 4: Simplify right side
    7,807.57x = 37,365,945.78
  5. Step 5: Solve for x
    x = 37,365,945.78/7,807.57
  6. Step 6: Final answer
    x = 4,785.86

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.