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Finding the Fourth Proportional to 7,471.88, 11,215.92 and 6,736.40

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Solution

The fourth proportional to 7,471.88, 11,215.92 and 6,736.40 is: 10,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.88 : 11,215.92 = 6,736.40 : x
  2. Step 2: Convert to fraction form
    7,471.88/11,215.92 = 6,736.40/x
  3. Step 3: Cross multiply
    7,471.88x = 11,215.92 × 6,736.40
  4. Step 4: Simplify right side
    7,471.88x = 75,554,923.49
  5. Step 5: Solve for x
    x = 75,554,923.49/7,471.88
  6. Step 6: Final answer
    x = 10,111.90

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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.