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Finding the Fourth Proportional to 27,415.78, 41,124.30 and 8,947.78

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Solution

The fourth proportional to 27,415.78, 41,124.30 and 8,947.78 is: 13,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.78 : 41,124.30 = 8,947.78 : x
  2. Step 2: Convert to fraction form
    27,415.78/41,124.30 = 8,947.78/x
  3. Step 3: Cross multiply
    27,415.78x = 41,124.30 × 8,947.78
  4. Step 4: Simplify right side
    27,415.78x = 367,971,189.05
  5. Step 5: Solve for x
    x = 367,971,189.05/27,415.78
  6. Step 6: Final answer
    x = 13,421.88

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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.