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Finding the Fourth Proportional to 3,784.51, 5,676.87 and 1,319.48

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Solution

The fourth proportional to 3,784.51, 5,676.87 and 1,319.48 is: 1,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.51 : 5,676.87 = 1,319.48 : x
  2. Step 2: Convert to fraction form
    3,784.51/5,676.87 = 1,319.48/x
  3. Step 3: Cross multiply
    3,784.51x = 5,676.87 × 1,319.48
  4. Step 4: Simplify right side
    3,784.51x = 7,490,516.43
  5. Step 5: Solve for x
    x = 7,490,516.43/3,784.51
  6. Step 6: Final answer
    x = 1,979.26

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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.