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Finding the Fourth Proportional to 7,124.56, 9,831.87 and 3,980.75

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Solution

The fourth proportional to 7,124.56, 9,831.87 and 3,980.75 is: 5,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.56 : 9,831.87 = 3,980.75 : x
  2. Step 2: Convert to fraction form
    7,124.56/9,831.87 = 3,980.75/x
  3. Step 3: Cross multiply
    7,124.56x = 9,831.87 × 3,980.75
  4. Step 4: Simplify right side
    7,124.56x = 39,138,204.21
  5. Step 5: Solve for x
    x = 39,138,204.21/7,124.56
  6. Step 6: Final answer
    x = 5,493.42

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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.