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Finding the Fourth Proportional to 8,000.40, 12,002.01 and 3,847.93

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Solution

The fourth proportional to 8,000.40, 12,002.01 and 3,847.93 is: 5,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.40 : 12,002.01 = 3,847.93 : x
  2. Step 2: Convert to fraction form
    8,000.40/12,002.01 = 3,847.93/x
  3. Step 3: Cross multiply
    8,000.40x = 12,002.01 × 3,847.93
  4. Step 4: Simplify right side
    8,000.40x = 46,182,894.34
  5. Step 5: Solve for x
    x = 46,182,894.34/8,000.40
  6. Step 6: Final answer
    x = 5,772.57

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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.