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Finding the Fourth Proportional to 1,586.73, 2,189.79 and 923.34

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Solution

The fourth proportional to 1,586.73, 2,189.79 and 923.34 is: 1,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.73 : 2,189.79 = 923.34 : x
  2. Step 2: Convert to fraction form
    1,586.73/2,189.79 = 923.34/x
  3. Step 3: Cross multiply
    1,586.73x = 2,189.79 × 923.34
  4. Step 4: Simplify right side
    1,586.73x = 2,021,920.70
  5. Step 5: Solve for x
    x = 2,021,920.70/1,586.73
  6. Step 6: Final answer
    x = 1,274.27

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1.5x scale

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.