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Finding the Fourth Proportional to 2,981.09, 4,114.09 and 1,722.20

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Solution

The fourth proportional to 2,981.09, 4,114.09 and 1,722.20 is: 2,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.09 : 4,114.09 = 1,722.20 : x
  2. Step 2: Convert to fraction form
    2,981.09/4,114.09 = 1,722.20/x
  3. Step 3: Cross multiply
    2,981.09x = 4,114.09 × 1,722.20
  4. Step 4: Simplify right side
    2,981.09x = 7,085,292.26
  5. Step 5: Solve for x
    x = 7,085,292.26/2,981.09
  6. Step 6: Final answer
    x = 2,376.74

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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.