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Finding the Fourth Proportional to 11,978.40, 17,967.60 and 4,186.20

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Solution

The fourth proportional to 11,978.40, 17,967.60 and 4,186.20 is: 6,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.40 : 17,967.60 = 4,186.20 : x
  2. Step 2: Convert to fraction form
    11,978.40/17,967.60 = 4,186.20/x
  3. Step 3: Cross multiply
    11,978.40x = 17,967.60 × 4,186.20
  4. Step 4: Simplify right side
    11,978.40x = 75,215,967.12
  5. Step 5: Solve for x
    x = 75,215,967.12/11,978.40
  6. Step 6: Final answer
    x = 6,279.30

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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.