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Finding the Fourth Proportional to 2,285.36, 3,427.76 and 642.04

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Solution

The fourth proportional to 2,285.36, 3,427.76 and 642.04 is: 962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.36 : 3,427.76 = 642.04 : x
  2. Step 2: Convert to fraction form
    2,285.36/3,427.76 = 642.04/x
  3. Step 3: Cross multiply
    2,285.36x = 3,427.76 × 642.04
  4. Step 4: Simplify right side
    2,285.36x = 2,200,747.25
  5. Step 5: Solve for x
    x = 2,200,747.25/2,285.36
  6. Step 6: Final answer
    x = 962.98

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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.