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Finding the Fourth Proportional to 7,831.11, 10,806.97 and 4,294.32

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Solution

The fourth proportional to 7,831.11, 10,806.97 and 4,294.32 is: 5,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.11 : 10,806.97 = 4,294.32 : x
  2. Step 2: Convert to fraction form
    7,831.11/10,806.97 = 4,294.32/x
  3. Step 3: Cross multiply
    7,831.11x = 10,806.97 × 4,294.32
  4. Step 4: Simplify right side
    7,831.11x = 46,408,544.20
  5. Step 5: Solve for x
    x = 46,408,544.20/7,831.11
  6. Step 6: Final answer
    x = 5,926.18

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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.