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Finding the Fourth Proportional to 8,073, 12,114.36 and 3,456

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Solution

The fourth proportional to 8,073, 12,114.36 and 3,456 is: 5,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 12,114.36 = 3,456 : x
  2. Step 2: Convert to fraction form
    8,073/12,114.36 = 3,456/x
  3. Step 3: Cross multiply
    8,073x = 12,114.36 × 3,456
  4. Step 4: Simplify right side
    8,073x = 41,867,228.16
  5. Step 5: Solve for x
    x = 41,867,228.16/8,073
  6. Step 6: Final answer
    x = 5,186.08

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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.