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Finding the Fourth Proportional to 5,918.64, 8,876.84 and 1,969.31

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Solution

The fourth proportional to 5,918.64, 8,876.84 and 1,969.31 is: 2,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.64 : 8,876.84 = 1,969.31 : x
  2. Step 2: Convert to fraction form
    5,918.64/8,876.84 = 1,969.31/x
  3. Step 3: Cross multiply
    5,918.64x = 8,876.84 × 1,969.31
  4. Step 4: Simplify right side
    5,918.64x = 17,481,195.55
  5. Step 5: Solve for x
    x = 17,481,195.55/5,918.64
  6. Step 6: Final answer
    x = 2,953.58

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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.