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Finding the Fourth Proportional to 2,012.99, 3,020.49 and 917.12

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Solution

The fourth proportional to 2,012.99, 3,020.49 and 917.12 is: 1,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.99 : 3,020.49 = 917.12 : x
  2. Step 2: Convert to fraction form
    2,012.99/3,020.49 = 917.12/x
  3. Step 3: Cross multiply
    2,012.99x = 3,020.49 × 917.12
  4. Step 4: Simplify right side
    2,012.99x = 2,770,159.34
  5. Step 5: Solve for x
    x = 2,770,159.34/2,012.99
  6. Step 6: Final answer
    x = 1,376.15

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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.