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Finding the Fourth Proportional to 1,967.68, 2,716.65 and 1,222.74

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Solution

The fourth proportional to 1,967.68, 2,716.65 and 1,222.74 is: 1,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.68 : 2,716.65 = 1,222.74 : x
  2. Step 2: Convert to fraction form
    1,967.68/2,716.65 = 1,222.74/x
  3. Step 3: Cross multiply
    1,967.68x = 2,716.65 × 1,222.74
  4. Step 4: Simplify right side
    1,967.68x = 3,321,756.62
  5. Step 5: Solve for x
    x = 3,321,756.62/1,967.68
  6. Step 6: Final answer
    x = 1,688.16

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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.