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Finding the Fourth Proportional to 6,818, 10,229.40 and 3,357.68

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Solution

The fourth proportional to 6,818, 10,229.40 and 3,357.68 is: 5,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818 : 10,229.40 = 3,357.68 : x
  2. Step 2: Convert to fraction form
    6,818/10,229.40 = 3,357.68/x
  3. Step 3: Cross multiply
    6,818x = 10,229.40 × 3,357.68
  4. Step 4: Simplify right side
    6,818x = 34,347,051.79
  5. Step 5: Solve for x
    x = 34,347,051.79/6,818
  6. Step 6: Final answer
    x = 5,037.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.