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Finding the Fourth Proportional to 7,377.90, 11,008.22 and 6,855.31

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Solution

The fourth proportional to 7,377.90, 11,008.22 and 6,855.31 is: 10,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.90 : 11,008.22 = 6,855.31 : x
  2. Step 2: Convert to fraction form
    7,377.90/11,008.22 = 6,855.31/x
  3. Step 3: Cross multiply
    7,377.90x = 11,008.22 × 6,855.31
  4. Step 4: Simplify right side
    7,377.90x = 75,464,760.65
  5. Step 5: Solve for x
    x = 75,464,760.65/7,377.90
  6. Step 6: Final answer
    x = 10,228.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.