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Finding the Fourth Proportional to 12,143.70, 18,200.93 and 5,121

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Solution

The fourth proportional to 12,143.70, 18,200.93 and 5,121 is: 7,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.70 : 18,200.93 = 5,121 : x
  2. Step 2: Convert to fraction form
    12,143.70/18,200.93 = 5,121/x
  3. Step 3: Cross multiply
    12,143.70x = 18,200.93 × 5,121
  4. Step 4: Simplify right side
    12,143.70x = 93,206,962.53
  5. Step 5: Solve for x
    x = 93,206,962.53/12,143.70
  6. Step 6: Final answer
    x = 7,675.33

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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.