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Finding the Fourth Proportional to 7,891.47, 11,831.72 and 3,993.21

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Solution

The fourth proportional to 7,891.47, 11,831.72 and 3,993.21 is: 5,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.47 : 11,831.72 = 3,993.21 : x
  2. Step 2: Convert to fraction form
    7,891.47/11,831.72 = 3,993.21/x
  3. Step 3: Cross multiply
    7,891.47x = 11,831.72 × 3,993.21
  4. Step 4: Simplify right side
    7,891.47x = 47,246,522.66
  5. Step 5: Solve for x
    x = 47,246,522.66/7,891.47
  6. Step 6: Final answer
    x = 5,987.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.