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Finding the Fourth Proportional to 3,941.95, 5,912.92 and 1,477.93

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Solution

The fourth proportional to 3,941.95, 5,912.92 and 1,477.93 is: 2,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.95 : 5,912.92 = 1,477.93 : x
  2. Step 2: Convert to fraction form
    3,941.95/5,912.92 = 1,477.93/x
  3. Step 3: Cross multiply
    3,941.95x = 5,912.92 × 1,477.93
  4. Step 4: Simplify right side
    3,941.95x = 8,738,881.86
  5. Step 5: Solve for x
    x = 8,738,881.86/3,941.95
  6. Step 6: Final answer
    x = 2,216.89

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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.