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Finding the Fourth Proportional to 7,742.28, 10,693.97 and 7,625.64

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Solution

The fourth proportional to 7,742.28, 10,693.97 and 7,625.64 is: 10,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.28 : 10,693.97 = 7,625.64 : x
  2. Step 2: Convert to fraction form
    7,742.28/10,693.97 = 7,625.64/x
  3. Step 3: Cross multiply
    7,742.28x = 10,693.97 × 7,625.64
  4. Step 4: Simplify right side
    7,742.28x = 81,548,438.86
  5. Step 5: Solve for x
    x = 81,548,438.86/7,742.28
  6. Step 6: Final answer
    x = 10,532.87

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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.