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Finding the Fourth Proportional to 5,295.36, 7,942.64 and 1,399.84

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Solution

The fourth proportional to 5,295.36, 7,942.64 and 1,399.84 is: 2,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.36 : 7,942.64 = 1,399.84 : x
  2. Step 2: Convert to fraction form
    5,295.36/7,942.64 = 1,399.84/x
  3. Step 3: Cross multiply
    5,295.36x = 7,942.64 × 1,399.84
  4. Step 4: Simplify right side
    5,295.36x = 11,118,425.18
  5. Step 5: Solve for x
    x = 11,118,425.18/5,295.36
  6. Step 6: Final answer
    x = 2,099.65

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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.