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Finding the Fourth Proportional to 40,523.90, 60,784.02 and 12,442.82

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Solution

The fourth proportional to 40,523.90, 60,784.02 and 12,442.82 is: 18,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,523.90 : 60,784.02 = 12,442.82 : x
  2. Step 2: Convert to fraction form
    40,523.90/60,784.02 = 12,442.82/x
  3. Step 3: Cross multiply
    40,523.90x = 60,784.02 × 12,442.82
  4. Step 4: Simplify right side
    40,523.90x = 756,324,315.82
  5. Step 5: Solve for x
    x = 756,324,315.82/40,523.90
  6. Step 6: Final answer
    x = 18,663.66

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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.