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Finding the Fourth Proportional to 6,400.92, 8,831.77 and 3,882.53

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Solution

The fourth proportional to 6,400.92, 8,831.77 and 3,882.53 is: 5,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.92 : 8,831.77 = 3,882.53 : x
  2. Step 2: Convert to fraction form
    6,400.92/8,831.77 = 3,882.53/x
  3. Step 3: Cross multiply
    6,400.92x = 8,831.77 × 3,882.53
  4. Step 4: Simplify right side
    6,400.92x = 34,289,596.51
  5. Step 5: Solve for x
    x = 34,289,596.51/6,400.92
  6. Step 6: Final answer
    x = 5,356.98

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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.