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Finding the Fourth Proportional to 3,364.80, 5,048.04 and 1,979.28

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Solution

The fourth proportional to 3,364.80, 5,048.04 and 1,979.28 is: 2,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.80 : 5,048.04 = 1,979.28 : x
  2. Step 2: Convert to fraction form
    3,364.80/5,048.04 = 1,979.28/x
  3. Step 3: Cross multiply
    3,364.80x = 5,048.04 × 1,979.28
  4. Step 4: Simplify right side
    3,364.80x = 9,991,484.61
  5. Step 5: Solve for x
    x = 9,991,484.61/3,364.80
  6. Step 6: Final answer
    x = 2,969.41

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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.