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Finding the Fourth Proportional to 3,807.56, 5,711.34 and 3,042.92

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Solution

The fourth proportional to 3,807.56, 5,711.34 and 3,042.92 is: 4,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.56 : 5,711.34 = 3,042.92 : x
  2. Step 2: Convert to fraction form
    3,807.56/5,711.34 = 3,042.92/x
  3. Step 3: Cross multiply
    3,807.56x = 5,711.34 × 3,042.92
  4. Step 4: Simplify right side
    3,807.56x = 17,379,150.71
  5. Step 5: Solve for x
    x = 17,379,150.71/3,807.56
  6. Step 6: Final answer
    x = 4,564.38

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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.