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Finding the Fourth Proportional to 6,831.56, 9,421.10 and 6,322.48

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Solution

The fourth proportional to 6,831.56, 9,421.10 and 6,322.48 is: 8,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.56 : 9,421.10 = 6,322.48 : x
  2. Step 2: Convert to fraction form
    6,831.56/9,421.10 = 6,322.48/x
  3. Step 3: Cross multiply
    6,831.56x = 9,421.10 × 6,322.48
  4. Step 4: Simplify right side
    6,831.56x = 59,564,716.33
  5. Step 5: Solve for x
    x = 59,564,716.33/6,831.56
  6. Step 6: Final answer
    x = 8,719.05

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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.