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Finding the Fourth Proportional to 5,657.71, 7,811.69 and 3,773.73

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Solution

The fourth proportional to 5,657.71, 7,811.69 and 3,773.73 is: 5,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.71 : 7,811.69 = 3,773.73 : x
  2. Step 2: Convert to fraction form
    5,657.71/7,811.69 = 3,773.73/x
  3. Step 3: Cross multiply
    5,657.71x = 7,811.69 × 3,773.73
  4. Step 4: Simplify right side
    5,657.71x = 29,479,208.90
  5. Step 5: Solve for x
    x = 29,479,208.90/5,657.71
  6. Step 6: Final answer
    x = 5,210.45

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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.