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Finding the Fourth Proportional to 27,519.92, 37,978.96 and 15,583.76

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Solution

The fourth proportional to 27,519.92, 37,978.96 and 15,583.76 is: 21,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.92 : 37,978.96 = 15,583.76 : x
  2. Step 2: Convert to fraction form
    27,519.92/37,978.96 = 15,583.76/x
  3. Step 3: Cross multiply
    27,519.92x = 37,978.96 × 15,583.76
  4. Step 4: Simplify right side
    27,519.92x = 591,854,997.69
  5. Step 5: Solve for x
    x = 591,854,997.69/27,519.92
  6. Step 6: Final answer
    x = 21,506.42

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1.5x scale

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.