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Finding the Fourth Proportional to 10,689, 16,031.52 and 2,896.80

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Solution

The fourth proportional to 10,689, 16,031.52 and 2,896.80 is: 4,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689 : 16,031.52 = 2,896.80 : x
  2. Step 2: Convert to fraction form
    10,689/16,031.52 = 2,896.80/x
  3. Step 3: Cross multiply
    10,689x = 16,031.52 × 2,896.80
  4. Step 4: Simplify right side
    10,689x = 46,440,107.14
  5. Step 5: Solve for x
    x = 46,440,107.14/10,689
  6. Step 6: Final answer
    x = 4,344.66

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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.