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Finding the Fourth Proportional to 1,979.34, 2,969.03 and 1,919.17

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Solution

The fourth proportional to 1,979.34, 2,969.03 and 1,919.17 is: 2,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.34 : 2,969.03 = 1,919.17 : x
  2. Step 2: Convert to fraction form
    1,979.34/2,969.03 = 1,919.17/x
  3. Step 3: Cross multiply
    1,979.34x = 2,969.03 × 1,919.17
  4. Step 4: Simplify right side
    1,979.34x = 5,698,073.31
  5. Step 5: Solve for x
    x = 5,698,073.31/1,979.34
  6. Step 6: Final answer
    x = 2,878.77

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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.