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Finding the Fourth Proportional to 1,878.62, 2,817.68 and 562.37

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Solution

The fourth proportional to 1,878.62, 2,817.68 and 562.37 is: 843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.62 : 2,817.68 = 562.37 : x
  2. Step 2: Convert to fraction form
    1,878.62/2,817.68 = 562.37/x
  3. Step 3: Cross multiply
    1,878.62x = 2,817.68 × 562.37
  4. Step 4: Simplify right side
    1,878.62x = 1,584,561.80
  5. Step 5: Solve for x
    x = 1,584,561.80/1,878.62
  6. Step 6: Final answer
    x = 843.47

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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.