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Finding the Fourth Proportional to 8,142, 12,206.20 and 3,465.68

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Solution

The fourth proportional to 8,142, 12,206.20 and 3,465.68 is: 5,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 12,206.20 = 3,465.68 : x
  2. Step 2: Convert to fraction form
    8,142/12,206.20 = 3,465.68/x
  3. Step 3: Cross multiply
    8,142x = 12,206.20 × 3,465.68
  4. Step 4: Simplify right side
    8,142x = 42,302,783.22
  5. Step 5: Solve for x
    x = 42,302,783.22/8,142
  6. Step 6: Final answer
    x = 5,195.63

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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.