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Finding the Fourth Proportional to 27,311, 37,688.56 and 15,211.40

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Solution

The fourth proportional to 27,311, 37,688.56 and 15,211.40 is: 20,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311 : 37,688.56 = 15,211.40 : x
  2. Step 2: Convert to fraction form
    27,311/37,688.56 = 15,211.40/x
  3. Step 3: Cross multiply
    27,311x = 37,688.56 × 15,211.40
  4. Step 4: Simplify right side
    27,311x = 573,295,761.58
  5. Step 5: Solve for x
    x = 573,295,761.58/27,311
  6. Step 6: Final answer
    x = 20,991.39

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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.