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Finding the Fourth Proportional to 27,161.71, 40,742.59 and 7,440.44

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Solution

The fourth proportional to 27,161.71, 40,742.59 and 7,440.44 is: 11,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.71 : 40,742.59 = 7,440.44 : x
  2. Step 2: Convert to fraction form
    27,161.71/40,742.59 = 7,440.44/x
  3. Step 3: Cross multiply
    27,161.71x = 40,742.59 × 7,440.44
  4. Step 4: Simplify right side
    27,161.71x = 303,142,592.63
  5. Step 5: Solve for x
    x = 303,142,592.63/27,161.71
  6. Step 6: Final answer
    x = 11,160.66

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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.