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Finding the Fourth Proportional to 6,804, 10,210.86 and 3,343.68

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Solution

The fourth proportional to 6,804, 10,210.86 and 3,343.68 is: 5,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 10,210.86 = 3,343.68 : x
  2. Step 2: Convert to fraction form
    6,804/10,210.86 = 3,343.68/x
  3. Step 3: Cross multiply
    6,804x = 10,210.86 × 3,343.68
  4. Step 4: Simplify right side
    6,804x = 34,141,848.36
  5. Step 5: Solve for x
    x = 34,141,848.36/6,804
  6. Step 6: Final answer
    x = 5,017.91

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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.