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Finding the Fourth Proportional to 15,978.71, 23,968.08 and 8,629.89

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Solution

The fourth proportional to 15,978.71, 23,968.08 and 8,629.89 is: 12,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.71 : 23,968.08 = 8,629.89 : x
  2. Step 2: Convert to fraction form
    15,978.71/23,968.08 = 8,629.89/x
  3. Step 3: Cross multiply
    15,978.71x = 23,968.08 × 8,629.89
  4. Step 4: Simplify right side
    15,978.71x = 206,841,893.91
  5. Step 5: Solve for x
    x = 206,841,893.91/15,978.71
  6. Step 6: Final answer
    x = 12,944.85

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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.