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Finding the Fourth Proportional to 5,218.79, 7,824.72 and 2,879.92

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Solution

The fourth proportional to 5,218.79, 7,824.72 and 2,879.92 is: 4,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.79 : 7,824.72 = 2,879.92 : x
  2. Step 2: Convert to fraction form
    5,218.79/7,824.72 = 2,879.92/x
  3. Step 3: Cross multiply
    5,218.79x = 7,824.72 × 2,879.92
  4. Step 4: Simplify right side
    5,218.79x = 22,534,528.50
  5. Step 5: Solve for x
    x = 22,534,528.50/5,218.79
  6. Step 6: Final answer
    x = 4,317.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.