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Finding the Fourth Proportional to 8,444, 12,667.62 and 3,827

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Solution

The fourth proportional to 8,444, 12,667.62 and 3,827 is: 5,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444 : 12,667.62 = 3,827 : x
  2. Step 2: Convert to fraction form
    8,444/12,667.62 = 3,827/x
  3. Step 3: Cross multiply
    8,444x = 12,667.62 × 3,827
  4. Step 4: Simplify right side
    8,444x = 48,478,981.74
  5. Step 5: Solve for x
    x = 48,478,981.74/8,444
  6. Step 6: Final answer
    x = 5,741.23

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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.