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Finding the Fourth Proportional to 3,091.64, 4,638.18 and 900.60

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Solution

The fourth proportional to 3,091.64, 4,638.18 and 900.60 is: 1,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.64 : 4,638.18 = 900.60 : x
  2. Step 2: Convert to fraction form
    3,091.64/4,638.18 = 900.60/x
  3. Step 3: Cross multiply
    3,091.64x = 4,638.18 × 900.60
  4. Step 4: Simplify right side
    3,091.64x = 4,177,144.91
  5. Step 5: Solve for x
    x = 4,177,144.91/3,091.64
  6. Step 6: Final answer
    x = 1,351.11

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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.