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Finding the Fourth Proportional to 7,727, 11,491.10 and 7,480.97

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Solution

The fourth proportional to 7,727, 11,491.10 and 7,480.97 is: 11,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727 : 11,491.10 = 7,480.97 : x
  2. Step 2: Convert to fraction form
    7,727/11,491.10 = 7,480.97/x
  3. Step 3: Cross multiply
    7,727x = 11,491.10 × 7,480.97
  4. Step 4: Simplify right side
    7,727x = 85,964,574.37
  5. Step 5: Solve for x
    x = 85,964,574.37/7,727
  6. Step 6: Final answer
    x = 11,125.22

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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.