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Finding the Fourth Proportional to 5,172.36, 7,746.48 and 3,782.22

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Solution

The fourth proportional to 5,172.36, 7,746.48 and 3,782.22 is: 5,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.36 : 7,746.48 = 3,782.22 : x
  2. Step 2: Convert to fraction form
    5,172.36/7,746.48 = 3,782.22/x
  3. Step 3: Cross multiply
    5,172.36x = 7,746.48 × 3,782.22
  4. Step 4: Simplify right side
    5,172.36x = 29,298,891.59
  5. Step 5: Solve for x
    x = 29,298,891.59/5,172.36
  6. Step 6: Final answer
    x = 5,664.51

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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.