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Finding the Fourth Proportional to 3,959.80, 5,940.02 and 1,038.09

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Solution

The fourth proportional to 3,959.80, 5,940.02 and 1,038.09 is: 1,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.80 : 5,940.02 = 1,038.09 : x
  2. Step 2: Convert to fraction form
    3,959.80/5,940.02 = 1,038.09/x
  3. Step 3: Cross multiply
    3,959.80x = 5,940.02 × 1,038.09
  4. Step 4: Simplify right side
    3,959.80x = 6,166,294.39
  5. Step 5: Solve for x
    x = 6,166,294.39/3,959.80
  6. Step 6: Final answer
    x = 1,557.22

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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.