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Finding the Fourth Proportional to 5,295.44, 7,943.64 and 1,399.85

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Solution

The fourth proportional to 5,295.44, 7,943.64 and 1,399.85 is: 2,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.44 : 7,943.64 = 1,399.85 : x
  2. Step 2: Convert to fraction form
    5,295.44/7,943.64 = 1,399.85/x
  3. Step 3: Cross multiply
    5,295.44x = 7,943.64 × 1,399.85
  4. Step 4: Simplify right side
    5,295.44x = 11,119,897.45
  5. Step 5: Solve for x
    x = 11,119,897.45/5,295.44
  6. Step 6: Final answer
    x = 2,099.90

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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.