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Finding the Fourth Proportional to 3,139.64, 4,709.70 and 831.14

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Solution

The fourth proportional to 3,139.64, 4,709.70 and 831.14 is: 1,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.64 : 4,709.70 = 831.14 : x
  2. Step 2: Convert to fraction form
    3,139.64/4,709.70 = 831.14/x
  3. Step 3: Cross multiply
    3,139.64x = 4,709.70 × 831.14
  4. Step 4: Simplify right side
    3,139.64x = 3,914,420.06
  5. Step 5: Solve for x
    x = 3,914,420.06/3,139.64
  6. Step 6: Final answer
    x = 1,246.77

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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.