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Finding the Fourth Proportional to 15,843.78, 23,748.84 and 5,978.88

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Solution

The fourth proportional to 15,843.78, 23,748.84 and 5,978.88 is: 8,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.78 : 23,748.84 = 5,978.88 : x
  2. Step 2: Convert to fraction form
    15,843.78/23,748.84 = 5,978.88/x
  3. Step 3: Cross multiply
    15,843.78x = 23,748.84 × 5,978.88
  4. Step 4: Simplify right side
    15,843.78x = 141,991,464.50
  5. Step 5: Solve for x
    x = 141,991,464.50/15,843.78
  6. Step 6: Final answer
    x = 8,961.97

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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.