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Finding the Fourth Proportional to 20,783.73, 31,187.88 and 7,645.32

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Solution

The fourth proportional to 20,783.73, 31,187.88 and 7,645.32 is: 11,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.73 : 31,187.88 = 7,645.32 : x
  2. Step 2: Convert to fraction form
    20,783.73/31,187.88 = 7,645.32/x
  3. Step 3: Cross multiply
    20,783.73x = 31,187.88 × 7,645.32
  4. Step 4: Simplify right side
    20,783.73x = 238,441,166.78
  5. Step 5: Solve for x
    x = 238,441,166.78/20,783.73
  6. Step 6: Final answer
    x = 11,472.49

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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.