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Finding the Fourth Proportional to 3,817.52, 5,726.40 and 1,222.40

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Solution

The fourth proportional to 3,817.52, 5,726.40 and 1,222.40 is: 1,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.52 : 5,726.40 = 1,222.40 : x
  2. Step 2: Convert to fraction form
    3,817.52/5,726.40 = 1,222.40/x
  3. Step 3: Cross multiply
    3,817.52x = 5,726.40 × 1,222.40
  4. Step 4: Simplify right side
    3,817.52x = 6,999,951.36
  5. Step 5: Solve for x
    x = 6,999,951.36/3,817.52
  6. Step 6: Final answer
    x = 1,833.64

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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.