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Finding the Fourth Proportional to 12,102.98, 18,143.54 and 8,406.95

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Solution

The fourth proportional to 12,102.98, 18,143.54 and 8,406.95 is: 12,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.98 : 18,143.54 = 8,406.95 : x
  2. Step 2: Convert to fraction form
    12,102.98/18,143.54 = 8,406.95/x
  3. Step 3: Cross multiply
    12,102.98x = 18,143.54 × 8,406.95
  4. Step 4: Simplify right side
    12,102.98x = 152,531,791.57
  5. Step 5: Solve for x
    x = 152,531,791.57/12,102.98
  6. Step 6: Final answer
    x = 12,602.83

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1.5x scale

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.