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Finding the Fourth Proportional to 10,978.39, 16,467.59 and 6,763.15

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Solution

The fourth proportional to 10,978.39, 16,467.59 and 6,763.15 is: 10,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.39 : 16,467.59 = 6,763.15 : x
  2. Step 2: Convert to fraction form
    10,978.39/16,467.59 = 6,763.15/x
  3. Step 3: Cross multiply
    10,978.39x = 16,467.59 × 6,763.15
  4. Step 4: Simplify right side
    10,978.39x = 111,372,781.31
  5. Step 5: Solve for x
    x = 111,372,781.31/10,978.39
  6. Step 6: Final answer
    x = 10,144.73

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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.