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Finding the Fourth Proportional to 9,111.78, 13,659.30 and 5,986.80

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Solution

The fourth proportional to 9,111.78, 13,659.30 and 5,986.80 is: 8,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.78 : 13,659.30 = 5,986.80 : x
  2. Step 2: Convert to fraction form
    9,111.78/13,659.30 = 5,986.80/x
  3. Step 3: Cross multiply
    9,111.78x = 13,659.30 × 5,986.80
  4. Step 4: Simplify right side
    9,111.78x = 81,775,497.24
  5. Step 5: Solve for x
    x = 81,775,497.24/9,111.78
  6. Step 6: Final answer
    x = 8,974.70

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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.