Home / 1,416.24-2,123.82-550.26

Finding the Fourth Proportional to 1,416.24, 2,123.82 and 550.26

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Solution

The fourth proportional to 1,416.24, 2,123.82 and 550.26 is: 825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.24 : 2,123.82 = 550.26 : x
  2. Step 2: Convert to fraction form
    1,416.24/2,123.82 = 550.26/x
  3. Step 3: Cross multiply
    1,416.24x = 2,123.82 × 550.26
  4. Step 4: Simplify right side
    1,416.24x = 1,168,653.19
  5. Step 5: Solve for x
    x = 1,168,653.19/1,416.24
  6. Step 6: Final answer
    x = 825.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.