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Finding the Fourth Proportional to 8,007.83, 12,008.39 and 3,846.86

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Solution

The fourth proportional to 8,007.83, 12,008.39 and 3,846.86 is: 5,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.83 : 12,008.39 = 3,846.86 : x
  2. Step 2: Convert to fraction form
    8,007.83/12,008.39 = 3,846.86/x
  3. Step 3: Cross multiply
    8,007.83x = 12,008.39 × 3,846.86
  4. Step 4: Simplify right side
    8,007.83x = 46,194,535.11
  5. Step 5: Solve for x
    x = 46,194,535.11/8,007.83
  6. Step 6: Final answer
    x = 5,768.67

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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.