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Finding the Fourth Proportional to 7,743.28, 10,695.36 and 7,626.64

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Solution

The fourth proportional to 7,743.28, 10,695.36 and 7,626.64 is: 10,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.28 : 10,695.36 = 7,626.64 : x
  2. Step 2: Convert to fraction form
    7,743.28/10,695.36 = 7,626.64/x
  3. Step 3: Cross multiply
    7,743.28x = 10,695.36 × 7,626.64
  4. Step 4: Simplify right side
    7,743.28x = 81,569,660.39
  5. Step 5: Solve for x
    x = 81,569,660.39/7,743.28
  6. Step 6: Final answer
    x = 10,534.25

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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.