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Finding the Fourth Proportional to 2,066.63, 3,099.94 and 1,962.81

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Solution

The fourth proportional to 2,066.63, 3,099.94 and 1,962.81 is: 2,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.63 : 3,099.94 = 1,962.81 : x
  2. Step 2: Convert to fraction form
    2,066.63/3,099.94 = 1,962.81/x
  3. Step 3: Cross multiply
    2,066.63x = 3,099.94 × 1,962.81
  4. Step 4: Simplify right side
    2,066.63x = 6,084,588.32
  5. Step 5: Solve for x
    x = 6,084,588.32/2,066.63
  6. Step 6: Final answer
    x = 2,944.22

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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.