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Finding the Fourth Proportional to 1,621.93, 2,238.24 and 923.29

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Solution

The fourth proportional to 1,621.93, 2,238.24 and 923.29 is: 1,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.93 : 2,238.24 = 923.29 : x
  2. Step 2: Convert to fraction form
    1,621.93/2,238.24 = 923.29/x
  3. Step 3: Cross multiply
    1,621.93x = 2,238.24 × 923.29
  4. Step 4: Simplify right side
    1,621.93x = 2,066,544.61
  5. Step 5: Solve for x
    x = 2,066,544.61/1,621.93
  6. Step 6: Final answer
    x = 1,274.13

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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.