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Finding the Fourth Proportional to 11,985, 17,977.50 and 4,689

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Solution

The fourth proportional to 11,985, 17,977.50 and 4,689 is: 7,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985 : 17,977.50 = 4,689 : x
  2. Step 2: Convert to fraction form
    11,985/17,977.50 = 4,689/x
  3. Step 3: Cross multiply
    11,985x = 17,977.50 × 4,689
  4. Step 4: Simplify right side
    11,985x = 84,296,497.50
  5. Step 5: Solve for x
    x = 84,296,497.50/11,985
  6. Step 6: Final answer
    x = 7,033.50

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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.