Home / 1,586.57-2,188.68-923.18

Finding the Fourth Proportional to 1,586.57, 2,188.68 and 923.18

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Solution

The fourth proportional to 1,586.57, 2,188.68 and 923.18 is: 1,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.57 : 2,188.68 = 923.18 : x
  2. Step 2: Convert to fraction form
    1,586.57/2,188.68 = 923.18/x
  3. Step 3: Cross multiply
    1,586.57x = 2,188.68 × 923.18
  4. Step 4: Simplify right side
    1,586.57x = 2,020,545.60
  5. Step 5: Solve for x
    x = 2,020,545.60/1,586.57
  6. Step 6: Final answer
    x = 1,273.53

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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.