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Finding the Fourth Proportional to 11,978.66, 17,968.10 and 4,187.49

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Solution

The fourth proportional to 11,978.66, 17,968.10 and 4,187.49 is: 6,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.66 : 17,968.10 = 4,187.49 : x
  2. Step 2: Convert to fraction form
    11,978.66/17,968.10 = 4,187.49/x
  3. Step 3: Cross multiply
    11,978.66x = 17,968.10 × 4,187.49
  4. Step 4: Simplify right side
    11,978.66x = 75,241,218.13
  5. Step 5: Solve for x
    x = 75,241,218.13/11,978.66
  6. Step 6: Final answer
    x = 6,281.27

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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.