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Finding the Fourth Proportional to 20,984, 28,957.92 and 11,552.52

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Solution

The fourth proportional to 20,984, 28,957.92 and 11,552.52 is: 15,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 28,957.92 = 11,552.52 : x
  2. Step 2: Convert to fraction form
    20,984/28,957.92 = 11,552.52/x
  3. Step 3: Cross multiply
    20,984x = 28,957.92 × 11,552.52
  4. Step 4: Simplify right side
    20,984x = 334,536,949.96
  5. Step 5: Solve for x
    x = 334,536,949.96/20,984
  6. Step 6: Final answer
    x = 15,942.48

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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.