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Finding the Fourth Proportional to 18,958.74, 26,165.38 and 11,409

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Solution

The fourth proportional to 18,958.74, 26,165.38 and 11,409 is: 15,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,958.74 : 26,165.38 = 11,409 : x
  2. Step 2: Convert to fraction form
    18,958.74/26,165.38 = 11,409/x
  3. Step 3: Cross multiply
    18,958.74x = 26,165.38 × 11,409
  4. Step 4: Simplify right side
    18,958.74x = 298,520,820.42
  5. Step 5: Solve for x
    x = 298,520,820.42/18,958.74
  6. Step 6: Final answer
    x = 15,745.82

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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.