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Finding the Fourth Proportional to 8,381.56, 12,573.90 and 4,222.36

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Solution

The fourth proportional to 8,381.56, 12,573.90 and 4,222.36 is: 6,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.56 : 12,573.90 = 4,222.36 : x
  2. Step 2: Convert to fraction form
    8,381.56/12,573.90 = 4,222.36/x
  3. Step 3: Cross multiply
    8,381.56x = 12,573.90 × 4,222.36
  4. Step 4: Simplify right side
    8,381.56x = 53,091,532.40
  5. Step 5: Solve for x
    x = 53,091,532.40/8,381.56
  6. Step 6: Final answer
    x = 6,334.33

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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.