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Finding the Fourth Proportional to 9,959.36, 13,745.16 and 5,711.11

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Solution

The fourth proportional to 9,959.36, 13,745.16 and 5,711.11 is: 7,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.36 : 13,745.16 = 5,711.11 : x
  2. Step 2: Convert to fraction form
    9,959.36/13,745.16 = 5,711.11/x
  3. Step 3: Cross multiply
    9,959.36x = 13,745.16 × 5,711.11
  4. Step 4: Simplify right side
    9,959.36x = 78,500,086.36
  5. Step 5: Solve for x
    x = 78,500,086.36/9,959.36
  6. Step 6: Final answer
    x = 7,882.05

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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.