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Finding the Fourth Proportional to 7,831.03, 10,806.96 and 4,294.21

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Solution

The fourth proportional to 7,831.03, 10,806.96 and 4,294.21 is: 5,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.03 : 10,806.96 = 4,294.21 : x
  2. Step 2: Convert to fraction form
    7,831.03/10,806.96 = 4,294.21/x
  3. Step 3: Cross multiply
    7,831.03x = 10,806.96 × 4,294.21
  4. Step 4: Simplify right side
    7,831.03x = 46,407,355.70
  5. Step 5: Solve for x
    x = 46,407,355.70/7,831.03
  6. Step 6: Final answer
    x = 5,926.09

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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.