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Finding the Fourth Proportional to 3,782.61, 5,218.50 and 2,188.97

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Solution

The fourth proportional to 3,782.61, 5,218.50 and 2,188.97 is: 3,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.61 : 5,218.50 = 2,188.97 : x
  2. Step 2: Convert to fraction form
    3,782.61/5,218.50 = 2,188.97/x
  3. Step 3: Cross multiply
    3,782.61x = 5,218.50 × 2,188.97
  4. Step 4: Simplify right side
    3,782.61x = 11,423,113.85
  5. Step 5: Solve for x
    x = 11,423,113.85/3,782.61
  6. Step 6: Final answer
    x = 3,019.90

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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.