Home / 1,596.20-2,202.57-914.81

Finding the Fourth Proportional to 1,596.20, 2,202.57 and 914.81

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Solution

The fourth proportional to 1,596.20, 2,202.57 and 914.81 is: 1,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.20 : 2,202.57 = 914.81 : x
  2. Step 2: Convert to fraction form
    1,596.20/2,202.57 = 914.81/x
  3. Step 3: Cross multiply
    1,596.20x = 2,202.57 × 914.81
  4. Step 4: Simplify right side
    1,596.20x = 2,014,922.05
  5. Step 5: Solve for x
    x = 2,014,922.05/1,596.20
  6. Step 6: Final answer
    x = 1,262.33

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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.