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Finding the Fourth Proportional to 7,831.95, 10,808.30 and 4,475.31

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Solution

The fourth proportional to 7,831.95, 10,808.30 and 4,475.31 is: 6,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.95 : 10,808.30 = 4,475.31 : x
  2. Step 2: Convert to fraction form
    7,831.95/10,808.30 = 4,475.31/x
  3. Step 3: Cross multiply
    7,831.95x = 10,808.30 × 4,475.31
  4. Step 4: Simplify right side
    7,831.95x = 48,370,493.07
  5. Step 5: Solve for x
    x = 48,370,493.07/7,831.95
  6. Step 6: Final answer
    x = 6,176.05

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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.