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Finding the Fourth Proportional to 5,091, 7,635.42 and 4,122.60

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Solution

The fourth proportional to 5,091, 7,635.42 and 4,122.60 is: 6,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091 : 7,635.42 = 4,122.60 : x
  2. Step 2: Convert to fraction form
    5,091/7,635.42 = 4,122.60/x
  3. Step 3: Cross multiply
    5,091x = 7,635.42 × 4,122.60
  4. Step 4: Simplify right side
    5,091x = 31,477,782.49
  5. Step 5: Solve for x
    x = 31,477,782.49/5,091
  6. Step 6: Final answer
    x = 6,183.03

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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.