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Finding the Fourth Proportional to 27,842.74, 41,688.78 and 20,390.74

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Solution

The fourth proportional to 27,842.74, 41,688.78 and 20,390.74 is: 30,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.74 : 41,688.78 = 20,390.74 : x
  2. Step 2: Convert to fraction form
    27,842.74/41,688.78 = 20,390.74/x
  3. Step 3: Cross multiply
    27,842.74x = 41,688.78 × 20,390.74
  4. Step 4: Simplify right side
    27,842.74x = 850,065,073.90
  5. Step 5: Solve for x
    x = 850,065,073.90/27,842.74
  6. Step 6: Final answer
    x = 30,530.94

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1.5x scale

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.