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Finding the Fourth Proportional to 7,745.56, 11,618.16 and 1,902.16

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Solution

The fourth proportional to 7,745.56, 11,618.16 and 1,902.16 is: 2,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.56 : 11,618.16 = 1,902.16 : x
  2. Step 2: Convert to fraction form
    7,745.56/11,618.16 = 1,902.16/x
  3. Step 3: Cross multiply
    7,745.56x = 11,618.16 × 1,902.16
  4. Step 4: Simplify right side
    7,745.56x = 22,099,599.23
  5. Step 5: Solve for x
    x = 22,099,599.23/7,745.56
  6. Step 6: Final answer
    x = 2,853.20

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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.