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Finding the Fourth Proportional to 3,959.76, 5,939.79 and 1,038.36

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Solution

The fourth proportional to 3,959.76, 5,939.79 and 1,038.36 is: 1,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.76 : 5,939.79 = 1,038.36 : x
  2. Step 2: Convert to fraction form
    3,959.76/5,939.79 = 1,038.36/x
  3. Step 3: Cross multiply
    3,959.76x = 5,939.79 × 1,038.36
  4. Step 4: Simplify right side
    3,959.76x = 6,167,640.34
  5. Step 5: Solve for x
    x = 6,167,640.34/3,959.76
  6. Step 6: Final answer
    x = 1,557.58

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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.