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Finding the Fourth Proportional to 6,688.40, 9,229.74 and 3,855.20

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Solution

The fourth proportional to 6,688.40, 9,229.74 and 3,855.20 is: 5,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.40 : 9,229.74 = 3,855.20 : x
  2. Step 2: Convert to fraction form
    6,688.40/9,229.74 = 3,855.20/x
  3. Step 3: Cross multiply
    6,688.40x = 9,229.74 × 3,855.20
  4. Step 4: Simplify right side
    6,688.40x = 35,582,493.65
  5. Step 5: Solve for x
    x = 35,582,493.65/6,688.40
  6. Step 6: Final answer
    x = 5,320.03

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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.