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Finding the Fourth Proportional to 37,640, 56,463.78 and 9,938

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Solution

The fourth proportional to 37,640, 56,463.78 and 9,938 is: 14,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640 : 56,463.78 = 9,938 : x
  2. Step 2: Convert to fraction form
    37,640/56,463.78 = 9,938/x
  3. Step 3: Cross multiply
    37,640x = 56,463.78 × 9,938
  4. Step 4: Simplify right side
    37,640x = 561,137,045.64
  5. Step 5: Solve for x
    x = 561,137,045.64/37,640
  6. Step 6: Final answer
    x = 14,908.00

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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.