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Finding the Fourth Proportional to 10,537.89, 15,791.64 and 8,028.30

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Solution

The fourth proportional to 10,537.89, 15,791.64 and 8,028.30 is: 12,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.89 : 15,791.64 = 8,028.30 : x
  2. Step 2: Convert to fraction form
    10,537.89/15,791.64 = 8,028.30/x
  3. Step 3: Cross multiply
    10,537.89x = 15,791.64 × 8,028.30
  4. Step 4: Simplify right side
    10,537.89x = 126,780,023.41
  5. Step 5: Solve for x
    x = 126,780,023.41/10,537.89
  6. Step 6: Final answer
    x = 12,030.87

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1.5x scale

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.