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Finding the Fourth Proportional to 7,851.75, 11,777.90 and 2,658.03

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Solution

The fourth proportional to 7,851.75, 11,777.90 and 2,658.03 is: 3,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.75 : 11,777.90 = 2,658.03 : x
  2. Step 2: Convert to fraction form
    7,851.75/11,777.90 = 2,658.03/x
  3. Step 3: Cross multiply
    7,851.75x = 11,777.90 × 2,658.03
  4. Step 4: Simplify right side
    7,851.75x = 31,305,998.25
  5. Step 5: Solve for x
    x = 31,305,998.25/7,851.75
  6. Step 6: Final answer
    x = 3,987.14

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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.