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Finding the Fourth Proportional to 2,508.11, 3,762.18 and 776.73

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Solution

The fourth proportional to 2,508.11, 3,762.18 and 776.73 is: 1,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.11 : 3,762.18 = 776.73 : x
  2. Step 2: Convert to fraction form
    2,508.11/3,762.18 = 776.73/x
  3. Step 3: Cross multiply
    2,508.11x = 3,762.18 × 776.73
  4. Step 4: Simplify right side
    2,508.11x = 2,922,198.07
  5. Step 5: Solve for x
    x = 2,922,198.07/2,508.11
  6. Step 6: Final answer
    x = 1,165.10

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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.