Home / 1,613.86-2,226.96-984.70

Finding the Fourth Proportional to 1,613.86, 2,226.96 and 984.70

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Solution

The fourth proportional to 1,613.86, 2,226.96 and 984.70 is: 1,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.86 : 2,226.96 = 984.70 : x
  2. Step 2: Convert to fraction form
    1,613.86/2,226.96 = 984.70/x
  3. Step 3: Cross multiply
    1,613.86x = 2,226.96 × 984.70
  4. Step 4: Simplify right side
    1,613.86x = 2,192,887.51
  5. Step 5: Solve for x
    x = 2,192,887.51/1,613.86
  6. Step 6: Final answer
    x = 1,358.78

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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.