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Finding the Fourth Proportional to 8,654.72, 11,944.49 and 4,878

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Solution

The fourth proportional to 8,654.72, 11,944.49 and 4,878 is: 6,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.72 : 11,944.49 = 4,878 : x
  2. Step 2: Convert to fraction form
    8,654.72/11,944.49 = 4,878/x
  3. Step 3: Cross multiply
    8,654.72x = 11,944.49 × 4,878
  4. Step 4: Simplify right side
    8,654.72x = 58,265,222.22
  5. Step 5: Solve for x
    x = 58,265,222.22/8,654.72
  6. Step 6: Final answer
    x = 6,732.19

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Why These Related Problems?

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