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Finding the Fourth Proportional to 1,878.86, 2,817.79 and 562.41

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Solution

The fourth proportional to 1,878.86, 2,817.79 and 562.41 is: 843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.86 : 2,817.79 = 562.41 : x
  2. Step 2: Convert to fraction form
    1,878.86/2,817.79 = 562.41/x
  3. Step 3: Cross multiply
    1,878.86x = 2,817.79 × 562.41
  4. Step 4: Simplify right side
    1,878.86x = 1,584,751.87
  5. Step 5: Solve for x
    x = 1,584,751.87/1,878.86
  6. Step 6: Final answer
    x = 843.46

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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.