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Finding the Fourth Proportional to 20,978.65, 28,951.24 and 11,418.88

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Solution

The fourth proportional to 20,978.65, 28,951.24 and 11,418.88 is: 15,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.65 : 28,951.24 = 11,418.88 : x
  2. Step 2: Convert to fraction form
    20,978.65/28,951.24 = 11,418.88/x
  3. Step 3: Cross multiply
    20,978.65x = 28,951.24 × 11,418.88
  4. Step 4: Simplify right side
    20,978.65x = 330,590,836.34
  5. Step 5: Solve for x
    x = 330,590,836.34/20,978.65
  6. Step 6: Final answer
    x = 15,758.44

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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.