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Finding the Fourth Proportional to 27,978.35, 41,967.89 and 8,257.19

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Solution

The fourth proportional to 27,978.35, 41,967.89 and 8,257.19 is: 12,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.35 : 41,967.89 = 8,257.19 : x
  2. Step 2: Convert to fraction form
    27,978.35/41,967.89 = 8,257.19/x
  3. Step 3: Cross multiply
    27,978.35x = 41,967.89 × 8,257.19
  4. Step 4: Simplify right side
    27,978.35x = 346,536,800.34
  5. Step 5: Solve for x
    x = 346,536,800.34/27,978.35
  6. Step 6: Final answer
    x = 12,385.89

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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.