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Finding the Fourth Proportional to 2,632.77, 3,948.84 and 684.81

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Solution

The fourth proportional to 2,632.77, 3,948.84 and 684.81 is: 1,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.77 : 3,948.84 = 684.81 : x
  2. Step 2: Convert to fraction form
    2,632.77/3,948.84 = 684.81/x
  3. Step 3: Cross multiply
    2,632.77x = 3,948.84 × 684.81
  4. Step 4: Simplify right side
    2,632.77x = 2,704,205.12
  5. Step 5: Solve for x
    x = 2,704,205.12/2,632.77
  6. Step 6: Final answer
    x = 1,027.13

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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.