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Finding the Fourth Proportional to 1,877.97, 2,817.36 and 561.83

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Solution

The fourth proportional to 1,877.97, 2,817.36 and 561.83 is: 842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.97 : 2,817.36 = 561.83 : x
  2. Step 2: Convert to fraction form
    1,877.97/2,817.36 = 561.83/x
  3. Step 3: Cross multiply
    1,877.97x = 2,817.36 × 561.83
  4. Step 4: Simplify right side
    1,877.97x = 1,582,861.18
  5. Step 5: Solve for x
    x = 1,582,861.18/1,877.97
  6. Step 6: Final answer
    x = 842.86

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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.