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Finding the Fourth Proportional to 8,143.49, 12,215.20 and 3,462.77

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Solution

The fourth proportional to 8,143.49, 12,215.20 and 3,462.77 is: 5,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.49 : 12,215.20 = 3,462.77 : x
  2. Step 2: Convert to fraction form
    8,143.49/12,215.20 = 3,462.77/x
  3. Step 3: Cross multiply
    8,143.49x = 12,215.20 × 3,462.77
  4. Step 4: Simplify right side
    8,143.49x = 42,298,428.10
  5. Step 5: Solve for x
    x = 42,298,428.10/8,143.49
  6. Step 6: Final answer
    x = 5,194.14

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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.