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Finding the Fourth Proportional to 1,914.94, 2,869.62 and 817.75

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Solution

The fourth proportional to 1,914.94, 2,869.62 and 817.75 is: 1,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.94 : 2,869.62 = 817.75 : x
  2. Step 2: Convert to fraction form
    1,914.94/2,869.62 = 817.75/x
  3. Step 3: Cross multiply
    1,914.94x = 2,869.62 × 817.75
  4. Step 4: Simplify right side
    1,914.94x = 2,346,631.76
  5. Step 5: Solve for x
    x = 2,346,631.76/1,914.94
  6. Step 6: Final answer
    x = 1,225.43

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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.