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Finding the Fourth Proportional to 6,400.72, 8,831.40 and 3,606.20

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Solution

The fourth proportional to 6,400.72, 8,831.40 and 3,606.20 is: 4,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.72 : 8,831.40 = 3,606.20 : x
  2. Step 2: Convert to fraction form
    6,400.72/8,831.40 = 3,606.20/x
  3. Step 3: Cross multiply
    6,400.72x = 8,831.40 × 3,606.20
  4. Step 4: Simplify right side
    6,400.72x = 31,847,794.68
  5. Step 5: Solve for x
    x = 31,847,794.68/6,400.72
  6. Step 6: Final answer
    x = 4,975.66

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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.