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Finding the Fourth Proportional to 3,129.03, 4,693.56 and 908.00

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Solution

The fourth proportional to 3,129.03, 4,693.56 and 908.00 is: 1,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.03 : 4,693.56 = 908.00 : x
  2. Step 2: Convert to fraction form
    3,129.03/4,693.56 = 908.00/x
  3. Step 3: Cross multiply
    3,129.03x = 4,693.56 × 908.00
  4. Step 4: Simplify right side
    3,129.03x = 4,261,743.21
  5. Step 5: Solve for x
    x = 4,261,743.21/3,129.03
  6. Step 6: Final answer
    x = 1,362.00

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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.