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Finding the Fourth Proportional to 19,978.88, 29,968.44 and 8,132.88

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Solution

The fourth proportional to 19,978.88, 29,968.44 and 8,132.88 is: 12,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.88 : 29,968.44 = 8,132.88 : x
  2. Step 2: Convert to fraction form
    19,978.88/29,968.44 = 8,132.88/x
  3. Step 3: Cross multiply
    19,978.88x = 29,968.44 × 8,132.88
  4. Step 4: Simplify right side
    19,978.88x = 243,729,726.31
  5. Step 5: Solve for x
    x = 243,729,726.31/19,978.88
  6. Step 6: Final answer
    x = 12,199.37

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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.