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Finding the Fourth Proportional to 5,718.20, 7,905.55 and 4,223.75

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Solution

The fourth proportional to 5,718.20, 7,905.55 and 4,223.75 is: 5,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.20 : 7,905.55 = 4,223.75 : x
  2. Step 2: Convert to fraction form
    5,718.20/7,905.55 = 4,223.75/x
  3. Step 3: Cross multiply
    5,718.20x = 7,905.55 × 4,223.75
  4. Step 4: Simplify right side
    5,718.20x = 33,391,016.73
  5. Step 5: Solve for x
    x = 33,391,016.73/5,718.20
  6. Step 6: Final answer
    x = 5,839.43

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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.