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Finding the Fourth Proportional to 5,323.55, 7,986.28 and 2,201.86

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Solution

The fourth proportional to 5,323.55, 7,986.28 and 2,201.86 is: 3,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.55 : 7,986.28 = 2,201.86 : x
  2. Step 2: Convert to fraction form
    5,323.55/7,986.28 = 2,201.86/x
  3. Step 3: Cross multiply
    5,323.55x = 7,986.28 × 2,201.86
  4. Step 4: Simplify right side
    5,323.55x = 17,584,630.55
  5. Step 5: Solve for x
    x = 17,584,630.55/5,323.55
  6. Step 6: Final answer
    x = 3,303.18

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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.