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Finding the Fourth Proportional to 1,878.51, 2,817.94 and 491.83

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Solution

The fourth proportional to 1,878.51, 2,817.94 and 491.83 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.51 : 2,817.94 = 491.83 : x
  2. Step 2: Convert to fraction form
    1,878.51/2,817.94 = 491.83/x
  3. Step 3: Cross multiply
    1,878.51x = 2,817.94 × 491.83
  4. Step 4: Simplify right side
    1,878.51x = 1,385,947.43
  5. Step 5: Solve for x
    x = 1,385,947.43/1,878.51
  6. Step 6: Final answer
    x = 737.79

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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.