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Finding the Fourth Proportional to 12,993.48, 17,912.34 and 9,261

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Solution

The fourth proportional to 12,993.48, 17,912.34 and 9,261 is: 12,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.48 : 17,912.34 = 9,261 : x
  2. Step 2: Convert to fraction form
    12,993.48/17,912.34 = 9,261/x
  3. Step 3: Cross multiply
    12,993.48x = 17,912.34 × 9,261
  4. Step 4: Simplify right side
    12,993.48x = 165,886,180.74
  5. Step 5: Solve for x
    x = 165,886,180.74/12,993.48
  6. Step 6: Final answer
    x = 12,766.88

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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.