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Finding the Fourth Proportional to 2,151.51, 3,227.19 and 612.51

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Solution

The fourth proportional to 2,151.51, 3,227.19 and 612.51 is: 918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.51 : 3,227.19 = 612.51 : x
  2. Step 2: Convert to fraction form
    2,151.51/3,227.19 = 612.51/x
  3. Step 3: Cross multiply
    2,151.51x = 3,227.19 × 612.51
  4. Step 4: Simplify right side
    2,151.51x = 1,976,670.01
  5. Step 5: Solve for x
    x = 1,976,670.01/2,151.51
  6. Step 6: Final answer
    x = 918.74

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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.