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Finding the Fourth Proportional to 3,986.00, 5,500.05 and 2,307.07

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Solution

The fourth proportional to 3,986.00, 5,500.05 and 2,307.07 is: 3,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.00 : 5,500.05 = 2,307.07 : x
  2. Step 2: Convert to fraction form
    3,986.00/5,500.05 = 2,307.07/x
  3. Step 3: Cross multiply
    3,986.00x = 5,500.05 × 2,307.07
  4. Step 4: Simplify right side
    3,986.00x = 12,689,021.87
  5. Step 5: Solve for x
    x = 12,689,021.87/3,986.00
  6. Step 6: Final answer
    x = 3,183.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.