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Finding the Fourth Proportional to 5,645.74, 8,471.04 and 3,803.80

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Solution

The fourth proportional to 5,645.74, 8,471.04 and 3,803.80 is: 5,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.74 : 8,471.04 = 3,803.80 : x
  2. Step 2: Convert to fraction form
    5,645.74/8,471.04 = 3,803.80/x
  3. Step 3: Cross multiply
    5,645.74x = 8,471.04 × 3,803.80
  4. Step 4: Simplify right side
    5,645.74x = 32,222,141.95
  5. Step 5: Solve for x
    x = 32,222,141.95/5,645.74
  6. Step 6: Final answer
    x = 5,707.34

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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.