Home / 1,586.14-2,188.80-922.86

Finding the Fourth Proportional to 1,586.14, 2,188.80 and 922.86

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Solution

The fourth proportional to 1,586.14, 2,188.80 and 922.86 is: 1,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.14 : 2,188.80 = 922.86 : x
  2. Step 2: Convert to fraction form
    1,586.14/2,188.80 = 922.86/x
  3. Step 3: Cross multiply
    1,586.14x = 2,188.80 × 922.86
  4. Step 4: Simplify right side
    1,586.14x = 2,019,955.97
  5. Step 5: Solve for x
    x = 2,019,955.97/1,586.14
  6. Step 6: Final answer
    x = 1,273.51

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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.