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Finding the Fourth Proportional to 12,345, 18,517.50 and 3,111

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Solution

The fourth proportional to 12,345, 18,517.50 and 3,111 is: 4,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345 : 18,517.50 = 3,111 : x
  2. Step 2: Convert to fraction form
    12,345/18,517.50 = 3,111/x
  3. Step 3: Cross multiply
    12,345x = 18,517.50 × 3,111
  4. Step 4: Simplify right side
    12,345x = 57,607,942.50
  5. Step 5: Solve for x
    x = 57,607,942.50/12,345
  6. Step 6: Final answer
    x = 4,666.50

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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.