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Finding the Fourth Proportional to 7,124.46, 9,831.78 and 3,980.82

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Solution

The fourth proportional to 7,124.46, 9,831.78 and 3,980.82 is: 5,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.46 : 9,831.78 = 3,980.82 : x
  2. Step 2: Convert to fraction form
    7,124.46/9,831.78 = 3,980.82/x
  3. Step 3: Cross multiply
    7,124.46x = 9,831.78 × 3,980.82
  4. Step 4: Simplify right side
    7,124.46x = 39,138,546.46
  5. Step 5: Solve for x
    x = 39,138,546.46/7,124.46
  6. Step 6: Final answer
    x = 5,493.55

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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.