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Finding the Fourth Proportional to 6,776, 10,162.56 and 5,484.80

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Solution

The fourth proportional to 6,776, 10,162.56 and 5,484.80 is: 8,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776 : 10,162.56 = 5,484.80 : x
  2. Step 2: Convert to fraction form
    6,776/10,162.56 = 5,484.80/x
  3. Step 3: Cross multiply
    6,776x = 10,162.56 × 5,484.80
  4. Step 4: Simplify right side
    6,776x = 55,739,609.09
  5. Step 5: Solve for x
    x = 55,739,609.09/6,776
  6. Step 6: Final answer
    x = 8,226.03

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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.