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Finding the Fourth Proportional to 7,108.25, 10,662.91 and 2,178.25

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Solution

The fourth proportional to 7,108.25, 10,662.91 and 2,178.25 is: 3,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.25 : 10,662.91 = 2,178.25 : x
  2. Step 2: Convert to fraction form
    7,108.25/10,662.91 = 2,178.25/x
  3. Step 3: Cross multiply
    7,108.25x = 10,662.91 × 2,178.25
  4. Step 4: Simplify right side
    7,108.25x = 23,226,451.60
  5. Step 5: Solve for x
    x = 23,226,451.60/7,108.25
  6. Step 6: Final answer
    x = 3,267.54

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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.