Home / 1,586.78-2,190.32-923.84

Finding the Fourth Proportional to 1,586.78, 2,190.32 and 923.84

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Solution

The fourth proportional to 1,586.78, 2,190.32 and 923.84 is: 1,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.78 : 2,190.32 = 923.84 : x
  2. Step 2: Convert to fraction form
    1,586.78/2,190.32 = 923.84/x
  3. Step 3: Cross multiply
    1,586.78x = 2,190.32 × 923.84
  4. Step 4: Simplify right side
    1,586.78x = 2,023,505.23
  5. Step 5: Solve for x
    x = 2,023,505.23/1,586.78
  6. Step 6: Final answer
    x = 1,275.23

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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.