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Finding the Fourth Proportional to 1,586.62, 2,189.73 and 957.39

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Solution

The fourth proportional to 1,586.62, 2,189.73 and 957.39 is: 1,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.62 : 2,189.73 = 957.39 : x
  2. Step 2: Convert to fraction form
    1,586.62/2,189.73 = 957.39/x
  3. Step 3: Cross multiply
    1,586.62x = 2,189.73 × 957.39
  4. Step 4: Simplify right side
    1,586.62x = 2,096,425.60
  5. Step 5: Solve for x
    x = 2,096,425.60/1,586.62
  6. Step 6: Final answer
    x = 1,321.32

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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.