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Finding the Fourth Proportional to 1,487.05, 2,051.97 and 823.89

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Solution

The fourth proportional to 1,487.05, 2,051.97 and 823.89 is: 1,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.05 : 2,051.97 = 823.89 : x
  2. Step 2: Convert to fraction form
    1,487.05/2,051.97 = 823.89/x
  3. Step 3: Cross multiply
    1,487.05x = 2,051.97 × 823.89
  4. Step 4: Simplify right side
    1,487.05x = 1,690,587.30
  5. Step 5: Solve for x
    x = 1,690,587.30/1,487.05
  6. Step 6: Final answer
    x = 1,136.87

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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.