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Finding the Fourth Proportional to 27,420.71, 41,137.27 and 8,701.88

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Solution

The fourth proportional to 27,420.71, 41,137.27 and 8,701.88 is: 13,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.71 : 41,137.27 = 8,701.88 : x
  2. Step 2: Convert to fraction form
    27,420.71/41,137.27 = 8,701.88/x
  3. Step 3: Cross multiply
    27,420.71x = 41,137.27 × 8,701.88
  4. Step 4: Simplify right side
    27,420.71x = 357,971,359.63
  5. Step 5: Solve for x
    x = 357,971,359.63/27,420.71
  6. Step 6: Final answer
    x = 13,054.78

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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.