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Finding the Fourth Proportional to 2,633.74, 3,950.61 and 785.50

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Solution

The fourth proportional to 2,633.74, 3,950.61 and 785.50 is: 1,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.74 : 3,950.61 = 785.50 : x
  2. Step 2: Convert to fraction form
    2,633.74/3,950.61 = 785.50/x
  3. Step 3: Cross multiply
    2,633.74x = 3,950.61 × 785.50
  4. Step 4: Simplify right side
    2,633.74x = 3,103,204.16
  5. Step 5: Solve for x
    x = 3,103,204.16/2,633.74
  6. Step 6: Final answer
    x = 1,178.25

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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.