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Finding the Fourth Proportional to 27,978.23, 41,967.71 and 8,257.07

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Solution

The fourth proportional to 27,978.23, 41,967.71 and 8,257.07 is: 12,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.23 : 41,967.71 = 8,257.07 : x
  2. Step 2: Convert to fraction form
    27,978.23/41,967.71 = 8,257.07/x
  3. Step 3: Cross multiply
    27,978.23x = 41,967.71 × 8,257.07
  4. Step 4: Simplify right side
    27,978.23x = 346,530,068.09
  5. Step 5: Solve for x
    x = 346,530,068.09/27,978.23
  6. Step 6: Final answer
    x = 12,385.71

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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.