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Finding the Fourth Proportional to 47,978.08, 66,210.06 and 27,847

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Solution

The fourth proportional to 47,978.08, 66,210.06 and 27,847 is: 38,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.08 : 66,210.06 = 27,847 : x
  2. Step 2: Convert to fraction form
    47,978.08/66,210.06 = 27,847/x
  3. Step 3: Cross multiply
    47,978.08x = 66,210.06 × 27,847
  4. Step 4: Simplify right side
    47,978.08x = 1,843,751,540.82
  5. Step 5: Solve for x
    x = 1,843,751,540.82/47,978.08
  6. Step 6: Final answer
    x = 38,429.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.