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Finding the Fourth Proportional to 9,985, 14,977.50 and 2,689

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Solution

The fourth proportional to 9,985, 14,977.50 and 2,689 is: 4,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985 : 14,977.50 = 2,689 : x
  2. Step 2: Convert to fraction form
    9,985/14,977.50 = 2,689/x
  3. Step 3: Cross multiply
    9,985x = 14,977.50 × 2,689
  4. Step 4: Simplify right side
    9,985x = 40,274,497.50
  5. Step 5: Solve for x
    x = 40,274,497.50/9,985
  6. Step 6: Final answer
    x = 4,033.50

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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.