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Finding the Fourth Proportional to 5,675.39, 7,831.32 and 3,580.73

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Solution

The fourth proportional to 5,675.39, 7,831.32 and 3,580.73 is: 4,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.39 : 7,831.32 = 3,580.73 : x
  2. Step 2: Convert to fraction form
    5,675.39/7,831.32 = 3,580.73/x
  3. Step 3: Cross multiply
    5,675.39x = 7,831.32 × 3,580.73
  4. Step 4: Simplify right side
    5,675.39x = 28,041,842.46
  5. Step 5: Solve for x
    x = 28,041,842.46/5,675.39
  6. Step 6: Final answer
    x = 4,940.95

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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.