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Finding the Fourth Proportional to 1,486.85, 2,051.88 and 823.73

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Solution

The fourth proportional to 1,486.85, 2,051.88 and 823.73 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.85 : 2,051.88 = 823.73 : x
  2. Step 2: Convert to fraction form
    1,486.85/2,051.88 = 823.73/x
  3. Step 3: Cross multiply
    1,486.85x = 2,051.88 × 823.73
  4. Step 4: Simplify right side
    1,486.85x = 1,690,200.24
  5. Step 5: Solve for x
    x = 1,690,200.24/1,486.85
  6. Step 6: Final answer
    x = 1,136.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.