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Finding the Fourth Proportional to 8,125.31, 12,187.97 and 1,969.31

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Solution

The fourth proportional to 8,125.31, 12,187.97 and 1,969.31 is: 2,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.31 : 12,187.97 = 1,969.31 : x
  2. Step 2: Convert to fraction form
    8,125.31/12,187.97 = 1,969.31/x
  3. Step 3: Cross multiply
    8,125.31x = 12,187.97 × 1,969.31
  4. Step 4: Simplify right side
    8,125.31x = 24,001,919.21
  5. Step 5: Solve for x
    x = 24,001,919.21/8,125.31
  6. Step 6: Final answer
    x = 2,953.97

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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.