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Finding the Fourth Proportional to 3,659.00, 5,490.07 and 1,160.39

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Solution

The fourth proportional to 3,659.00, 5,490.07 and 1,160.39 is: 1,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.00 : 5,490.07 = 1,160.39 : x
  2. Step 2: Convert to fraction form
    3,659.00/5,490.07 = 1,160.39/x
  3. Step 3: Cross multiply
    3,659.00x = 5,490.07 × 1,160.39
  4. Step 4: Simplify right side
    3,659.00x = 6,370,627.57
  5. Step 5: Solve for x
    x = 6,370,627.57/3,659.00
  6. Step 6: Final answer
    x = 1,741.08

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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.