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Finding the Fourth Proportional to 5,198.76, 7,178.76 and 4,822.20

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Solution

The fourth proportional to 5,198.76, 7,178.76 and 4,822.20 is: 6,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.76 : 7,178.76 = 4,822.20 : x
  2. Step 2: Convert to fraction form
    5,198.76/7,178.76 = 4,822.20/x
  3. Step 3: Cross multiply
    5,198.76x = 7,178.76 × 4,822.20
  4. Step 4: Simplify right side
    5,198.76x = 34,617,416.47
  5. Step 5: Solve for x
    x = 34,617,416.47/5,198.76
  6. Step 6: Final answer
    x = 6,658.78

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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.