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Finding the Fourth Proportional to 1,918, 2,878.80 and 878.56

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Solution

The fourth proportional to 1,918, 2,878.80 and 878.56 is: 1,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918 : 2,878.80 = 878.56 : x
  2. Step 2: Convert to fraction form
    1,918/2,878.80 = 878.56/x
  3. Step 3: Cross multiply
    1,918x = 2,878.80 × 878.56
  4. Step 4: Simplify right side
    1,918x = 2,529,198.53
  5. Step 5: Solve for x
    x = 2,529,198.53/1,918
  6. Step 6: Final answer
    x = 1,318.66

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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.