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Finding the Fourth Proportional to 31,538, 47,305.68 and 7,845.60

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Solution

The fourth proportional to 31,538, 47,305.68 and 7,845.60 is: 11,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538 : 47,305.68 = 7,845.60 : x
  2. Step 2: Convert to fraction form
    31,538/47,305.68 = 7,845.60/x
  3. Step 3: Cross multiply
    31,538x = 47,305.68 × 7,845.60
  4. Step 4: Simplify right side
    31,538x = 371,141,443.01
  5. Step 5: Solve for x
    x = 371,141,443.01/31,538
  6. Step 6: Final answer
    x = 11,768.07

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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.