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Finding the Fourth Proportional to 3,784.50, 5,223.11 and 2,292.98

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Solution

The fourth proportional to 3,784.50, 5,223.11 and 2,292.98 is: 3,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.50 : 5,223.11 = 2,292.98 : x
  2. Step 2: Convert to fraction form
    3,784.50/5,223.11 = 2,292.98/x
  3. Step 3: Cross multiply
    3,784.50x = 5,223.11 × 2,292.98
  4. Step 4: Simplify right side
    3,784.50x = 11,976,449.19
  5. Step 5: Solve for x
    x = 11,976,449.19/3,784.50
  6. Step 6: Final answer
    x = 3,164.61

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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.