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Finding the Fourth Proportional to 5,107.55, 7,661.85 and 1,409.78

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Solution

The fourth proportional to 5,107.55, 7,661.85 and 1,409.78 is: 2,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.55 : 7,661.85 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    5,107.55/7,661.85 = 1,409.78/x
  3. Step 3: Cross multiply
    5,107.55x = 7,661.85 × 1,409.78
  4. Step 4: Simplify right side
    5,107.55x = 10,801,522.89
  5. Step 5: Solve for x
    x = 10,801,522.89/5,107.55
  6. Step 6: Final answer
    x = 2,114.81

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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.