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Finding the Fourth Proportional to 5,686.14, 7,831.69 and 4,940.94

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Solution

The fourth proportional to 5,686.14, 7,831.69 and 4,940.94 is: 6,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.14 : 7,831.69 = 4,940.94 : x
  2. Step 2: Convert to fraction form
    5,686.14/7,831.69 = 4,940.94/x
  3. Step 3: Cross multiply
    5,686.14x = 7,831.69 × 4,940.94
  4. Step 4: Simplify right side
    5,686.14x = 38,695,910.39
  5. Step 5: Solve for x
    x = 38,695,910.39/5,686.14
  6. Step 6: Final answer
    x = 6,805.30

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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.