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Finding the Fourth Proportional to 27,357.60, 37,753.74 and 15,419.88

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Solution

The fourth proportional to 27,357.60, 37,753.74 and 15,419.88 is: 21,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357.60 : 37,753.74 = 15,419.88 : x
  2. Step 2: Convert to fraction form
    27,357.60/37,753.74 = 15,419.88/x
  3. Step 3: Cross multiply
    27,357.60x = 37,753.74 × 15,419.88
  4. Step 4: Simplify right side
    27,357.60x = 582,158,140.35
  5. Step 5: Solve for x
    x = 582,158,140.35/27,357.60
  6. Step 6: Final answer
    x = 21,279.58

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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.