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Finding the Fourth Proportional to 37,640.72, 56,463.48 and 9,938

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Solution

The fourth proportional to 37,640.72, 56,463.48 and 9,938 is: 14,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.72 : 56,463.48 = 9,938 : x
  2. Step 2: Convert to fraction form
    37,640.72/56,463.48 = 9,938/x
  3. Step 3: Cross multiply
    37,640.72x = 56,463.48 × 9,938
  4. Step 4: Simplify right side
    37,640.72x = 561,134,064.24
  5. Step 5: Solve for x
    x = 561,134,064.24/37,640.72
  6. Step 6: Final answer
    x = 14,907.63

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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.