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Finding the Fourth Proportional to 3,803.76, 5,702.40 and 3,622.32

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Solution

The fourth proportional to 3,803.76, 5,702.40 and 3,622.32 is: 5,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.76 : 5,702.40 = 3,622.32 : x
  2. Step 2: Convert to fraction form
    3,803.76/5,702.40 = 3,622.32/x
  3. Step 3: Cross multiply
    3,803.76x = 5,702.40 × 3,622.32
  4. Step 4: Simplify right side
    3,803.76x = 20,655,917.57
  5. Step 5: Solve for x
    x = 20,655,917.57/3,803.76
  6. Step 6: Final answer
    x = 5,430.39

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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.