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Finding the Fourth Proportional to 7,831.80, 10,807.11 and 4,475.43

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Solution

The fourth proportional to 7,831.80, 10,807.11 and 4,475.43 is: 6,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.80 : 10,807.11 = 4,475.43 : x
  2. Step 2: Convert to fraction form
    7,831.80/10,807.11 = 4,475.43/x
  3. Step 3: Cross multiply
    7,831.80x = 10,807.11 × 4,475.43
  4. Step 4: Simplify right side
    7,831.80x = 48,366,464.31
  5. Step 5: Solve for x
    x = 48,366,464.31/7,831.80
  6. Step 6: Final answer
    x = 6,175.65

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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.