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Finding the Fourth Proportional to 12,351.71, 17,039.49 and 8,993

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Solution

The fourth proportional to 12,351.71, 17,039.49 and 8,993 is: 12,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.71 : 17,039.49 = 8,993 : x
  2. Step 2: Convert to fraction form
    12,351.71/17,039.49 = 8,993/x
  3. Step 3: Cross multiply
    12,351.71x = 17,039.49 × 8,993
  4. Step 4: Simplify right side
    12,351.71x = 153,236,133.57
  5. Step 5: Solve for x
    x = 153,236,133.57/12,351.71
  6. Step 6: Final answer
    x = 12,406.07

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1.5x scale

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.