Home / 2,274.78-3,412.30-631.28

Finding the Fourth Proportional to 2,274.78, 3,412.30 and 631.28

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Solution

The fourth proportional to 2,274.78, 3,412.30 and 631.28 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.78 : 3,412.30 = 631.28 : x
  2. Step 2: Convert to fraction form
    2,274.78/3,412.30 = 631.28/x
  3. Step 3: Cross multiply
    2,274.78x = 3,412.30 × 631.28
  4. Step 4: Simplify right side
    2,274.78x = 2,154,116.74
  5. Step 5: Solve for x
    x = 2,154,116.74/2,274.78
  6. Step 6: Final answer
    x = 946.96

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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.