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Finding the Fourth Proportional to 15,140.31, 20,893.46 and 8,425.82

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Solution

The fourth proportional to 15,140.31, 20,893.46 and 8,425.82 is: 11,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.31 : 20,893.46 = 8,425.82 : x
  2. Step 2: Convert to fraction form
    15,140.31/20,893.46 = 8,425.82/x
  3. Step 3: Cross multiply
    15,140.31x = 20,893.46 × 8,425.82
  4. Step 4: Simplify right side
    15,140.31x = 176,044,533.14
  5. Step 5: Solve for x
    x = 176,044,533.14/15,140.31
  6. Step 6: Final answer
    x = 11,627.54

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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.