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Finding the Fourth Proportional to 7,771.64, 11,659.73 and 2,506.54

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Solution

The fourth proportional to 7,771.64, 11,659.73 and 2,506.54 is: 3,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.64 : 11,659.73 = 2,506.54 : x
  2. Step 2: Convert to fraction form
    7,771.64/11,659.73 = 2,506.54/x
  3. Step 3: Cross multiply
    7,771.64x = 11,659.73 × 2,506.54
  4. Step 4: Simplify right side
    7,771.64x = 29,225,567.10
  5. Step 5: Solve for x
    x = 29,225,567.10/7,771.64
  6. Step 6: Final answer
    x = 3,760.54

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1.5x scale

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.