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Finding the Fourth Proportional to 2,318.81, 3,478.43 and 838.40

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Solution

The fourth proportional to 2,318.81, 3,478.43 and 838.40 is: 1,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.81 : 3,478.43 = 838.40 : x
  2. Step 2: Convert to fraction form
    2,318.81/3,478.43 = 838.40/x
  3. Step 3: Cross multiply
    2,318.81x = 3,478.43 × 838.40
  4. Step 4: Simplify right side
    2,318.81x = 2,916,330.85
  5. Step 5: Solve for x
    x = 2,916,330.85/2,318.81
  6. Step 6: Final answer
    x = 1,257.68

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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.