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Finding the Fourth Proportional to 5,205, 7,182.76 and 2,847

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Solution

The fourth proportional to 5,205, 7,182.76 and 2,847 is: 3,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 7,182.76 = 2,847 : x
  2. Step 2: Convert to fraction form
    5,205/7,182.76 = 2,847/x
  3. Step 3: Cross multiply
    5,205x = 7,182.76 × 2,847
  4. Step 4: Simplify right side
    5,205x = 20,449,317.72
  5. Step 5: Solve for x
    x = 20,449,317.72/5,205
  6. Step 6: Final answer
    x = 3,928.78

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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.