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Finding the Fourth Proportional to 7,798, 10,769.96 and 6,050.80

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Solution

The fourth proportional to 7,798, 10,769.96 and 6,050.80 is: 8,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798 : 10,769.96 = 6,050.80 : x
  2. Step 2: Convert to fraction form
    7,798/10,769.96 = 6,050.80/x
  3. Step 3: Cross multiply
    7,798x = 10,769.96 × 6,050.80
  4. Step 4: Simplify right side
    7,798x = 65,166,873.97
  5. Step 5: Solve for x
    x = 65,166,873.97/7,798
  6. Step 6: Final answer
    x = 8,356.87

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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.