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Finding the Fourth Proportional to 8,143.22, 12,206.52 and 3,210.12

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Solution

The fourth proportional to 8,143.22, 12,206.52 and 3,210.12 is: 4,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.22 : 12,206.52 = 3,210.12 : x
  2. Step 2: Convert to fraction form
    8,143.22/12,206.52 = 3,210.12/x
  3. Step 3: Cross multiply
    8,143.22x = 12,206.52 × 3,210.12
  4. Step 4: Simplify right side
    8,143.22x = 39,184,393.98
  5. Step 5: Solve for x
    x = 39,184,393.98/8,143.22
  6. Step 6: Final answer
    x = 4,811.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.