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Finding the Fourth Proportional to 3,818.52, 5,727.90 and 1,223.40

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Solution

The fourth proportional to 3,818.52, 5,727.90 and 1,223.40 is: 1,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.52 : 5,727.90 = 1,223.40 : x
  2. Step 2: Convert to fraction form
    3,818.52/5,727.90 = 1,223.40/x
  3. Step 3: Cross multiply
    3,818.52x = 5,727.90 × 1,223.40
  4. Step 4: Simplify right side
    3,818.52x = 7,007,512.86
  5. Step 5: Solve for x
    x = 7,007,512.86/3,818.52
  6. Step 6: Final answer
    x = 1,835.14

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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.