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Finding the Fourth Proportional to 5,221.60, 7,833.60 and 1,523.74

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Solution

The fourth proportional to 5,221.60, 7,833.60 and 1,523.74 is: 2,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.60 : 7,833.60 = 1,523.74 : x
  2. Step 2: Convert to fraction form
    5,221.60/7,833.60 = 1,523.74/x
  3. Step 3: Cross multiply
    5,221.60x = 7,833.60 × 1,523.74
  4. Step 4: Simplify right side
    5,221.60x = 11,936,369.66
  5. Step 5: Solve for x
    x = 11,936,369.66/5,221.60
  6. Step 6: Final answer
    x = 2,285.96

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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.