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Finding the Fourth Proportional to 1,813.79, 2,716.63 and 836.93

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Solution

The fourth proportional to 1,813.79, 2,716.63 and 836.93 is: 1,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.79 : 2,716.63 = 836.93 : x
  2. Step 2: Convert to fraction form
    1,813.79/2,716.63 = 836.93/x
  3. Step 3: Cross multiply
    1,813.79x = 2,716.63 × 836.93
  4. Step 4: Simplify right side
    1,813.79x = 2,273,629.15
  5. Step 5: Solve for x
    x = 2,273,629.15/1,813.79
  6. Step 6: Final answer
    x = 1,253.52

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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.