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Finding the Fourth Proportional to 27,978.39, 41,923.76 and 15,490.71

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Solution

The fourth proportional to 27,978.39, 41,923.76 and 15,490.71 is: 23,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.39 : 41,923.76 = 15,490.71 : x
  2. Step 2: Convert to fraction form
    27,978.39/41,923.76 = 15,490.71/x
  3. Step 3: Cross multiply
    27,978.39x = 41,923.76 × 15,490.71
  4. Step 4: Simplify right side
    27,978.39x = 649,428,730.82
  5. Step 5: Solve for x
    x = 649,428,730.82/27,978.39
  6. Step 6: Final answer
    x = 23,211.80

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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.