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Finding the Fourth Proportional to 3,102.77, 4,654.62 and 911.24

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Solution

The fourth proportional to 3,102.77, 4,654.62 and 911.24 is: 1,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.77 : 4,654.62 = 911.24 : x
  2. Step 2: Convert to fraction form
    3,102.77/4,654.62 = 911.24/x
  3. Step 3: Cross multiply
    3,102.77x = 4,654.62 × 911.24
  4. Step 4: Simplify right side
    3,102.77x = 4,241,475.93
  5. Step 5: Solve for x
    x = 4,241,475.93/3,102.77
  6. Step 6: Final answer
    x = 1,367.00

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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.