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Finding the Fourth Proportional to 6,424.20, 8,855.14 and 5,243.24

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Solution

The fourth proportional to 6,424.20, 8,855.14 and 5,243.24 is: 7,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.20 : 8,855.14 = 5,243.24 : x
  2. Step 2: Convert to fraction form
    6,424.20/8,855.14 = 5,243.24/x
  3. Step 3: Cross multiply
    6,424.20x = 8,855.14 × 5,243.24
  4. Step 4: Simplify right side
    6,424.20x = 46,429,624.25
  5. Step 5: Solve for x
    x = 46,429,624.25/6,424.20
  6. Step 6: Final answer
    x = 7,227.30

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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.