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Finding the Fourth Proportional to 20,804.91, 28,714.19 and 16,362.46

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Solution

The fourth proportional to 20,804.91, 28,714.19 and 16,362.46 is: 22,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.91 : 28,714.19 = 16,362.46 : x
  2. Step 2: Convert to fraction form
    20,804.91/28,714.19 = 16,362.46/x
  3. Step 3: Cross multiply
    20,804.91x = 28,714.19 × 16,362.46
  4. Step 4: Simplify right side
    20,804.91x = 469,834,785.31
  5. Step 5: Solve for x
    x = 469,834,785.31/20,804.91
  6. Step 6: Final answer
    x = 22,582.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.