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Finding the Fourth Proportional to 27,657.76, 38,167.44 and 15,081.76

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Solution

The fourth proportional to 27,657.76, 38,167.44 and 15,081.76 is: 20,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.76 : 38,167.44 = 15,081.76 : x
  2. Step 2: Convert to fraction form
    27,657.76/38,167.44 = 15,081.76/x
  3. Step 3: Cross multiply
    27,657.76x = 38,167.44 × 15,081.76
  4. Step 4: Simplify right side
    27,657.76x = 575,632,169.89
  5. Step 5: Solve for x
    x = 575,632,169.89/27,657.76
  6. Step 6: Final answer
    x = 20,812.68

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Half scale
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Double scale
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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.