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Finding the Fourth Proportional to 8,003.70, 12,016.35 and 5,087.70

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Solution

The fourth proportional to 8,003.70, 12,016.35 and 5,087.70 is: 7,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.70 : 12,016.35 = 5,087.70 : x
  2. Step 2: Convert to fraction form
    8,003.70/12,016.35 = 5,087.70/x
  3. Step 3: Cross multiply
    8,003.70x = 12,016.35 × 5,087.70
  4. Step 4: Simplify right side
    8,003.70x = 61,135,583.90
  5. Step 5: Solve for x
    x = 61,135,583.90/8,003.70
  6. Step 6: Final answer
    x = 7,638.42

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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.