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Finding the Fourth Proportional to 7,742.72, 11,546.02 and 7,672.52

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Solution

The fourth proportional to 7,742.72, 11,546.02 and 7,672.52 is: 11,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.72 : 11,546.02 = 7,672.52 : x
  2. Step 2: Convert to fraction form
    7,742.72/11,546.02 = 7,672.52/x
  3. Step 3: Cross multiply
    7,742.72x = 11,546.02 × 7,672.52
  4. Step 4: Simplify right side
    7,742.72x = 88,587,069.37
  5. Step 5: Solve for x
    x = 88,587,069.37/7,742.72
  6. Step 6: Final answer
    x = 11,441.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.