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Finding the Fourth Proportional to 27,990.58, 41,978.07 and 9,272.08

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Solution

The fourth proportional to 27,990.58, 41,978.07 and 9,272.08 is: 13,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990.58 : 41,978.07 = 9,272.08 : x
  2. Step 2: Convert to fraction form
    27,990.58/41,978.07 = 9,272.08/x
  3. Step 3: Cross multiply
    27,990.58x = 41,978.07 × 9,272.08
  4. Step 4: Simplify right side
    27,990.58x = 389,224,023.29
  5. Step 5: Solve for x
    x = 389,224,023.29/27,990.58
  6. Step 6: Final answer
    x = 13,905.54

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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.