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Finding the Fourth Proportional to 5,657.85, 7,803.95 and 3,982.77

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Solution

The fourth proportional to 5,657.85, 7,803.95 and 3,982.77 is: 5,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.85 : 7,803.95 = 3,982.77 : x
  2. Step 2: Convert to fraction form
    5,657.85/7,803.95 = 3,982.77/x
  3. Step 3: Cross multiply
    5,657.85x = 7,803.95 × 3,982.77
  4. Step 4: Simplify right side
    5,657.85x = 31,081,318.03
  5. Step 5: Solve for x
    x = 31,081,318.03/5,657.85
  6. Step 6: Final answer
    x = 5,493.49

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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.