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Finding the Fourth Proportional to 7,662, 10,574.78 and 7,161.72

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Solution

The fourth proportional to 7,662, 10,574.78 and 7,161.72 is: 9,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662 : 10,574.78 = 7,161.72 : x
  2. Step 2: Convert to fraction form
    7,662/10,574.78 = 7,161.72/x
  3. Step 3: Cross multiply
    7,662x = 10,574.78 × 7,161.72
  4. Step 4: Simplify right side
    7,662x = 75,733,613.42
  5. Step 5: Solve for x
    x = 75,733,613.42/7,662
  6. Step 6: Final answer
    x = 9,884.31

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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.