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Finding the Fourth Proportional to 5,628.36, 7,764.40 and 3,640.64

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Solution

The fourth proportional to 5,628.36, 7,764.40 and 3,640.64 is: 5,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.36 : 7,764.40 = 3,640.64 : x
  2. Step 2: Convert to fraction form
    5,628.36/7,764.40 = 3,640.64/x
  3. Step 3: Cross multiply
    5,628.36x = 7,764.40 × 3,640.64
  4. Step 4: Simplify right side
    5,628.36x = 28,267,385.22
  5. Step 5: Solve for x
    x = 28,267,385.22/5,628.36
  6. Step 6: Final answer
    x = 5,022.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.