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Finding the Fourth Proportional to 8,824.34, 12,177.79 and 4,845.47

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Solution

The fourth proportional to 8,824.34, 12,177.79 and 4,845.47 is: 6,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.34 : 12,177.79 = 4,845.47 : x
  2. Step 2: Convert to fraction form
    8,824.34/12,177.79 = 4,845.47/x
  3. Step 3: Cross multiply
    8,824.34x = 12,177.79 × 4,845.47
  4. Step 4: Simplify right side
    8,824.34x = 59,007,091.88
  5. Step 5: Solve for x
    x = 59,007,091.88/8,824.34
  6. Step 6: Final answer
    x = 6,686.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.