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Finding the Fourth Proportional to 6,831.02, 9,427.11 and 4,477.70

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Solution

The fourth proportional to 6,831.02, 9,427.11 and 4,477.70 is: 6,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.02 : 9,427.11 = 4,477.70 : x
  2. Step 2: Convert to fraction form
    6,831.02/9,427.11 = 4,477.70/x
  3. Step 3: Cross multiply
    6,831.02x = 9,427.11 × 4,477.70
  4. Step 4: Simplify right side
    6,831.02x = 42,211,770.45
  5. Step 5: Solve for x
    x = 42,211,770.45/6,831.02
  6. Step 6: Final answer
    x = 6,179.42

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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.