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Finding the Fourth Proportional to 28,871.44, 39,840.80 and 16,124.16

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Solution

The fourth proportional to 28,871.44, 39,840.80 and 16,124.16 is: 22,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871.44 : 39,840.80 = 16,124.16 : x
  2. Step 2: Convert to fraction form
    28,871.44/39,840.80 = 16,124.16/x
  3. Step 3: Cross multiply
    28,871.44x = 39,840.80 × 16,124.16
  4. Step 4: Simplify right side
    28,871.44x = 642,399,433.73
  5. Step 5: Solve for x
    x = 642,399,433.73/28,871.44
  6. Step 6: Final answer
    x = 22,250.34

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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.