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Finding the Fourth Proportional to 2,130, 3,193.12 and 831.18

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Solution

The fourth proportional to 2,130, 3,193.12 and 831.18 is: 1,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130 : 3,193.12 = 831.18 : x
  2. Step 2: Convert to fraction form
    2,130/3,193.12 = 831.18/x
  3. Step 3: Cross multiply
    2,130x = 3,193.12 × 831.18
  4. Step 4: Simplify right side
    2,130x = 2,654,057.48
  5. Step 5: Solve for x
    x = 2,654,057.48/2,130
  6. Step 6: Final answer
    x = 1,246.04

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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.