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Finding the Fourth Proportional to 2,328.84, 3,489.18 and 1,230.81

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Solution

The fourth proportional to 2,328.84, 3,489.18 and 1,230.81 is: 1,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.84 : 3,489.18 = 1,230.81 : x
  2. Step 2: Convert to fraction form
    2,328.84/3,489.18 = 1,230.81/x
  3. Step 3: Cross multiply
    2,328.84x = 3,489.18 × 1,230.81
  4. Step 4: Simplify right side
    2,328.84x = 4,294,517.64
  5. Step 5: Solve for x
    x = 4,294,517.64/2,328.84
  6. Step 6: Final answer
    x = 1,844.06

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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.