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Finding the Fourth Proportional to 28,889.52, 39,871.20 and 16,314

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Solution

The fourth proportional to 28,889.52, 39,871.20 and 16,314 is: 22,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,889.52 : 39,871.20 = 16,314 : x
  2. Step 2: Convert to fraction form
    28,889.52/39,871.20 = 16,314/x
  3. Step 3: Cross multiply
    28,889.52x = 39,871.20 × 16,314
  4. Step 4: Simplify right side
    28,889.52x = 650,458,756.80
  5. Step 5: Solve for x
    x = 650,458,756.80/28,889.52
  6. Step 6: Final answer
    x = 22,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.