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Finding the Fourth Proportional to 1,831.31, 2,747.12 and 856.88

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Solution

The fourth proportional to 1,831.31, 2,747.12 and 856.88 is: 1,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.31 : 2,747.12 = 856.88 : x
  2. Step 2: Convert to fraction form
    1,831.31/2,747.12 = 856.88/x
  3. Step 3: Cross multiply
    1,831.31x = 2,747.12 × 856.88
  4. Step 4: Simplify right side
    1,831.31x = 2,353,952.19
  5. Step 5: Solve for x
    x = 2,353,952.19/1,831.31
  6. Step 6: Final answer
    x = 1,285.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.