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Finding the Fourth Proportional to 2,151.25, 3,227.43 and 612.25

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Solution

The fourth proportional to 2,151.25, 3,227.43 and 612.25 is: 918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.25 : 3,227.43 = 612.25 : x
  2. Step 2: Convert to fraction form
    2,151.25/3,227.43 = 612.25/x
  3. Step 3: Cross multiply
    2,151.25x = 3,227.43 × 612.25
  4. Step 4: Simplify right side
    2,151.25x = 1,975,994.02
  5. Step 5: Solve for x
    x = 1,975,994.02/2,151.25
  6. Step 6: Final answer
    x = 918.53

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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.