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Finding the Fourth Proportional to 6,804, 9,389.52 and 3,819.78

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Solution

The fourth proportional to 6,804, 9,389.52 and 3,819.78 is: 5,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 9,389.52 = 3,819.78 : x
  2. Step 2: Convert to fraction form
    6,804/9,389.52 = 3,819.78/x
  3. Step 3: Cross multiply
    6,804x = 9,389.52 × 3,819.78
  4. Step 4: Simplify right side
    6,804x = 35,865,900.71
  5. Step 5: Solve for x
    x = 35,865,900.71/6,804
  6. Step 6: Final answer
    x = 5,271.30

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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.