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Finding the Fourth Proportional to 5,256.89, 7,890.60 and 3,777.85

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Solution

The fourth proportional to 5,256.89, 7,890.60 and 3,777.85 is: 5,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.89 : 7,890.60 = 3,777.85 : x
  2. Step 2: Convert to fraction form
    5,256.89/7,890.60 = 3,777.85/x
  3. Step 3: Cross multiply
    5,256.89x = 7,890.60 × 3,777.85
  4. Step 4: Simplify right side
    5,256.89x = 29,809,483.80
  5. Step 5: Solve for x
    x = 29,809,483.80/5,256.89
  6. Step 6: Final answer
    x = 5,670.55

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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.