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Finding the Fourth Proportional to 1,586.36, 2,189.23 and 996.91

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Solution

The fourth proportional to 1,586.36, 2,189.23 and 996.91 is: 1,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.36 : 2,189.23 = 996.91 : x
  2. Step 2: Convert to fraction form
    1,586.36/2,189.23 = 996.91/x
  3. Step 3: Cross multiply
    1,586.36x = 2,189.23 × 996.91
  4. Step 4: Simplify right side
    1,586.36x = 2,182,457.31
  5. Step 5: Solve for x
    x = 2,182,457.31/1,586.36
  6. Step 6: Final answer
    x = 1,375.76

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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.