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Finding the Fourth Proportional to 20,573.46, 28,391.40 and 11,142

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Solution

The fourth proportional to 20,573.46, 28,391.40 and 11,142 is: 15,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.46 : 28,391.40 = 11,142 : x
  2. Step 2: Convert to fraction form
    20,573.46/28,391.40 = 11,142/x
  3. Step 3: Cross multiply
    20,573.46x = 28,391.40 × 11,142
  4. Step 4: Simplify right side
    20,573.46x = 316,336,978.80
  5. Step 5: Solve for x
    x = 316,336,978.80/20,573.46
  6. Step 6: Final answer
    x = 15,375.97

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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.