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Finding the Fourth Proportional to 3,861.95, 5,788.45 and 1,777.58

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Solution

The fourth proportional to 3,861.95, 5,788.45 and 1,777.58 is: 2,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.95 : 5,788.45 = 1,777.58 : x
  2. Step 2: Convert to fraction form
    3,861.95/5,788.45 = 1,777.58/x
  3. Step 3: Cross multiply
    3,861.95x = 5,788.45 × 1,777.58
  4. Step 4: Simplify right side
    3,861.95x = 10,289,432.95
  5. Step 5: Solve for x
    x = 10,289,432.95/3,861.95
  6. Step 6: Final answer
    x = 2,664.31

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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.