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Finding the Fourth Proportional to 57,877.64, 86,815.56 and 18,434.42

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Solution

The fourth proportional to 57,877.64, 86,815.56 and 18,434.42 is: 27,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.64 : 86,815.56 = 18,434.42 : x
  2. Step 2: Convert to fraction form
    57,877.64/86,815.56 = 18,434.42/x
  3. Step 3: Cross multiply
    57,877.64x = 86,815.56 × 18,434.42
  4. Step 4: Simplify right side
    57,877.64x = 1,600,394,495.58
  5. Step 5: Solve for x
    x = 1,600,394,495.58/57,877.64
  6. Step 6: Final answer
    x = 27,651.34

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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.