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Finding the Fourth Proportional to 3,427.76, 5,141.08 and 962.36

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Solution

The fourth proportional to 3,427.76, 5,141.08 and 962.36 is: 1,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.76 : 5,141.08 = 962.36 : x
  2. Step 2: Convert to fraction form
    3,427.76/5,141.08 = 962.36/x
  3. Step 3: Cross multiply
    3,427.76x = 5,141.08 × 962.36
  4. Step 4: Simplify right side
    3,427.76x = 4,947,569.75
  5. Step 5: Solve for x
    x = 4,947,569.75/3,427.76
  6. Step 6: Final answer
    x = 1,443.38

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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.