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Finding the Fourth Proportional to 2,265.78, 3,400.10 and 967.26

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Solution

The fourth proportional to 2,265.78, 3,400.10 and 967.26 is: 1,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.78 : 3,400.10 = 967.26 : x
  2. Step 2: Convert to fraction form
    2,265.78/3,400.10 = 967.26/x
  3. Step 3: Cross multiply
    2,265.78x = 3,400.10 × 967.26
  4. Step 4: Simplify right side
    2,265.78x = 3,288,780.73
  5. Step 5: Solve for x
    x = 3,288,780.73/2,265.78
  6. Step 6: Final answer
    x = 1,451.50

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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.