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Finding the Fourth Proportional to 2,014.57, 3,021.26 and 781.70

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Solution

The fourth proportional to 2,014.57, 3,021.26 and 781.70 is: 1,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.57 : 3,021.26 = 781.70 : x
  2. Step 2: Convert to fraction form
    2,014.57/3,021.26 = 781.70/x
  3. Step 3: Cross multiply
    2,014.57x = 3,021.26 × 781.70
  4. Step 4: Simplify right side
    2,014.57x = 2,361,718.94
  5. Step 5: Solve for x
    x = 2,361,718.94/2,014.57
  6. Step 6: Final answer
    x = 1,172.32

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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.