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Finding the Fourth Proportional to 37,642, 56,466.27 and 9,940

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Solution

The fourth proportional to 37,642, 56,466.27 and 9,940 is: 14,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642 : 56,466.27 = 9,940 : x
  2. Step 2: Convert to fraction form
    37,642/56,466.27 = 9,940/x
  3. Step 3: Cross multiply
    37,642x = 56,466.27 × 9,940
  4. Step 4: Simplify right side
    37,642x = 561,274,723.80
  5. Step 5: Solve for x
    x = 561,274,723.80/37,642
  6. Step 6: Final answer
    x = 14,910.86

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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.