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Finding the Fourth Proportional to 1,978.63, 2,966 and 1,609.19

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Solution

The fourth proportional to 1,978.63, 2,966 and 1,609.19 is: 2,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.63 : 2,966 = 1,609.19 : x
  2. Step 2: Convert to fraction form
    1,978.63/2,966 = 1,609.19/x
  3. Step 3: Cross multiply
    1,978.63x = 2,966 × 1,609.19
  4. Step 4: Simplify right side
    1,978.63x = 4,772,857.54
  5. Step 5: Solve for x
    x = 4,772,857.54/1,978.63
  6. Step 6: Final answer
    x = 2,412.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.