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Finding the Fourth Proportional to 1,374.44, 1,892.67 and 1,136.62

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Solution

The fourth proportional to 1,374.44, 1,892.67 and 1,136.62 is: 1,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.44 : 1,892.67 = 1,136.62 : x
  2. Step 2: Convert to fraction form
    1,374.44/1,892.67 = 1,136.62/x
  3. Step 3: Cross multiply
    1,374.44x = 1,892.67 × 1,136.62
  4. Step 4: Simplify right side
    1,374.44x = 2,151,237.11
  5. Step 5: Solve for x
    x = 2,151,237.11/1,374.44
  6. Step 6: Final answer
    x = 1,565.17

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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.