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Finding the Fourth Proportional to 2,981.68, 4,114.62 and 1,722.68

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Solution

The fourth proportional to 2,981.68, 4,114.62 and 1,722.68 is: 2,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.68 : 4,114.62 = 1,722.68 : x
  2. Step 2: Convert to fraction form
    2,981.68/4,114.62 = 1,722.68/x
  3. Step 3: Cross multiply
    2,981.68x = 4,114.62 × 1,722.68
  4. Step 4: Simplify right side
    2,981.68x = 7,088,173.58
  5. Step 5: Solve for x
    x = 7,088,173.58/2,981.68
  6. Step 6: Final answer
    x = 2,377.24

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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.