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Finding the Fourth Proportional to 8,902.34, 13,361.43 and 4,745.78

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Solution

The fourth proportional to 8,902.34, 13,361.43 and 4,745.78 is: 7,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.34 : 13,361.43 = 4,745.78 : x
  2. Step 2: Convert to fraction form
    8,902.34/13,361.43 = 4,745.78/x
  3. Step 3: Cross multiply
    8,902.34x = 13,361.43 × 4,745.78
  4. Step 4: Simplify right side
    8,902.34x = 63,410,407.27
  5. Step 5: Solve for x
    x = 63,410,407.27/8,902.34
  6. Step 6: Final answer
    x = 7,122.89

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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.