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Finding the Fourth Proportional to 2,373.62, 3,558.94 and 911.03

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Solution

The fourth proportional to 2,373.62, 3,558.94 and 911.03 is: 1,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.62 : 3,558.94 = 911.03 : x
  2. Step 2: Convert to fraction form
    2,373.62/3,558.94 = 911.03/x
  3. Step 3: Cross multiply
    2,373.62x = 3,558.94 × 911.03
  4. Step 4: Simplify right side
    2,373.62x = 3,242,281.04
  5. Step 5: Solve for x
    x = 3,242,281.04/2,373.62
  6. Step 6: Final answer
    x = 1,365.97

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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.