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Finding the Fourth Proportional to 20,984, 28,957.92 and 12,600.56

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Solution

The fourth proportional to 20,984, 28,957.92 and 12,600.56 is: 17,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 28,957.92 = 12,600.56 : x
  2. Step 2: Convert to fraction form
    20,984/28,957.92 = 12,600.56/x
  3. Step 3: Cross multiply
    20,984x = 28,957.92 × 12,600.56
  4. Step 4: Simplify right side
    20,984x = 364,886,008.44
  5. Step 5: Solve for x
    x = 364,886,008.44/20,984
  6. Step 6: Final answer
    x = 17,388.77

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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.