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Finding the Fourth Proportional to 15,198.91, 20,978 and 8,913.31

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Solution

The fourth proportional to 15,198.91, 20,978 and 8,913.31 is: 12,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.91 : 20,978 = 8,913.31 : x
  2. Step 2: Convert to fraction form
    15,198.91/20,978 = 8,913.31/x
  3. Step 3: Cross multiply
    15,198.91x = 20,978 × 8,913.31
  4. Step 4: Simplify right side
    15,198.91x = 186,983,417.18
  5. Step 5: Solve for x
    x = 186,983,417.18/15,198.91
  6. Step 6: Final answer
    x = 12,302.42

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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.