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Finding the Fourth Proportional to 2,266, 3,397.48 and 949.40

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Solution

The fourth proportional to 2,266, 3,397.48 and 949.40 is: 1,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 3,397.48 = 949.40 : x
  2. Step 2: Convert to fraction form
    2,266/3,397.48 = 949.40/x
  3. Step 3: Cross multiply
    2,266x = 3,397.48 × 949.40
  4. Step 4: Simplify right side
    2,266x = 3,225,567.51
  5. Step 5: Solve for x
    x = 3,225,567.51/2,266
  6. Step 6: Final answer
    x = 1,423.46

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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.