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Finding the Fourth Proportional to 2,015.19, 3,022.24 and 553.99

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Solution

The fourth proportional to 2,015.19, 3,022.24 and 553.99 is: 830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.19 : 3,022.24 = 553.99 : x
  2. Step 2: Convert to fraction form
    2,015.19/3,022.24 = 553.99/x
  3. Step 3: Cross multiply
    2,015.19x = 3,022.24 × 553.99
  4. Step 4: Simplify right side
    2,015.19x = 1,674,290.74
  5. Step 5: Solve for x
    x = 1,674,290.74/2,015.19
  6. Step 6: Final answer
    x = 830.84

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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.