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Finding the Fourth Proportional to 2,274.68, 3,412.22 and 631.24

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Solution

The fourth proportional to 2,274.68, 3,412.22 and 631.24 is: 946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.68 : 3,412.22 = 631.24 : x
  2. Step 2: Convert to fraction form
    2,274.68/3,412.22 = 631.24/x
  3. Step 3: Cross multiply
    2,274.68x = 3,412.22 × 631.24
  4. Step 4: Simplify right side
    2,274.68x = 2,153,918.07
  5. Step 5: Solve for x
    x = 2,153,918.07/2,274.68
  6. Step 6: Final answer
    x = 946.91

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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.