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Finding the Fourth Proportional to 7,859.82, 11,728.47 and 7,161.20

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Solution

The fourth proportional to 7,859.82, 11,728.47 and 7,161.20 is: 10,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.82 : 11,728.47 = 7,161.20 : x
  2. Step 2: Convert to fraction form
    7,859.82/11,728.47 = 7,161.20/x
  3. Step 3: Cross multiply
    7,859.82x = 11,728.47 × 7,161.20
  4. Step 4: Simplify right side
    7,859.82x = 83,989,919.36
  5. Step 5: Solve for x
    x = 83,989,919.36/7,859.82
  6. Step 6: Final answer
    x = 10,685.99

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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.