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Finding the Fourth Proportional to 7,771.67, 11,659.82 and 2,507.51

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Solution

The fourth proportional to 7,771.67, 11,659.82 and 2,507.51 is: 3,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.67 : 11,659.82 = 2,507.51 : x
  2. Step 2: Convert to fraction form
    7,771.67/11,659.82 = 2,507.51/x
  3. Step 3: Cross multiply
    7,771.67x = 11,659.82 × 2,507.51
  4. Step 4: Simplify right side
    7,771.67x = 29,237,087.43
  5. Step 5: Solve for x
    x = 29,237,087.43/7,771.67
  6. Step 6: Final answer
    x = 3,762.01

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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.