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Finding the Fourth Proportional to 2,410.90, 3,616.31 and 767.42

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Solution

The fourth proportional to 2,410.90, 3,616.31 and 767.42 is: 1,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.90 : 3,616.31 = 767.42 : x
  2. Step 2: Convert to fraction form
    2,410.90/3,616.31 = 767.42/x
  3. Step 3: Cross multiply
    2,410.90x = 3,616.31 × 767.42
  4. Step 4: Simplify right side
    2,410.90x = 2,775,228.62
  5. Step 5: Solve for x
    x = 2,775,228.62/2,410.90
  6. Step 6: Final answer
    x = 1,151.12

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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.