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Finding the Fourth Proportional to 5,294.97, 7,941.56 and 1,399.77

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Solution

The fourth proportional to 5,294.97, 7,941.56 and 1,399.77 is: 2,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.97 : 7,941.56 = 1,399.77 : x
  2. Step 2: Convert to fraction form
    5,294.97/7,941.56 = 1,399.77/x
  3. Step 3: Cross multiply
    5,294.97x = 7,941.56 × 1,399.77
  4. Step 4: Simplify right side
    5,294.97x = 11,116,350.44
  5. Step 5: Solve for x
    x = 11,116,350.44/5,294.97
  6. Step 6: Final answer
    x = 2,099.42

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1.5x scale

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.