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Finding the Fourth Proportional to 2,172.39, 3,257.94 and 612.28

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Solution

The fourth proportional to 2,172.39, 3,257.94 and 612.28 is: 918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.39 : 3,257.94 = 612.28 : x
  2. Step 2: Convert to fraction form
    2,172.39/3,257.94 = 612.28/x
  3. Step 3: Cross multiply
    2,172.39x = 3,257.94 × 612.28
  4. Step 4: Simplify right side
    2,172.39x = 1,994,771.50
  5. Step 5: Solve for x
    x = 1,994,771.50/2,172.39
  6. Step 6: Final answer
    x = 918.24

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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.