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Finding the Fourth Proportional to 1,486.90, 2,051.92 and 823.80

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Solution

The fourth proportional to 1,486.90, 2,051.92 and 823.80 is: 1,136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.90 : 2,051.92 = 823.80 : x
  2. Step 2: Convert to fraction form
    1,486.90/2,051.92 = 823.80/x
  3. Step 3: Cross multiply
    1,486.90x = 2,051.92 × 823.80
  4. Step 4: Simplify right side
    1,486.90x = 1,690,371.70
  5. Step 5: Solve for x
    x = 1,690,371.70/1,486.90
  6. Step 6: Final answer
    x = 1,136.84

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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.