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Finding the Fourth Proportional to 3,995.82, 5,994.74 and 1,530.86

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Solution

The fourth proportional to 3,995.82, 5,994.74 and 1,530.86 is: 2,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.82 : 5,994.74 = 1,530.86 : x
  2. Step 2: Convert to fraction form
    3,995.82/5,994.74 = 1,530.86/x
  3. Step 3: Cross multiply
    3,995.82x = 5,994.74 × 1,530.86
  4. Step 4: Simplify right side
    3,995.82x = 9,177,081.53
  5. Step 5: Solve for x
    x = 9,177,081.53/3,995.82
  6. Step 6: Final answer
    x = 2,296.67

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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.