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Finding the Fourth Proportional to 2,619.66, 3,930.17 and 864.93

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Solution

The fourth proportional to 2,619.66, 3,930.17 and 864.93 is: 1,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.66 : 3,930.17 = 864.93 : x
  2. Step 2: Convert to fraction form
    2,619.66/3,930.17 = 864.93/x
  3. Step 3: Cross multiply
    2,619.66x = 3,930.17 × 864.93
  4. Step 4: Simplify right side
    2,619.66x = 3,399,317.61
  5. Step 5: Solve for x
    x = 3,399,317.61/2,619.66
  6. Step 6: Final answer
    x = 1,297.62

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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.