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Finding the Fourth Proportional to 5,853.81, 8,783.13 and 3,079.80

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Solution

The fourth proportional to 5,853.81, 8,783.13 and 3,079.80 is: 4,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.81 : 8,783.13 = 3,079.80 : x
  2. Step 2: Convert to fraction form
    5,853.81/8,783.13 = 3,079.80/x
  3. Step 3: Cross multiply
    5,853.81x = 8,783.13 × 3,079.80
  4. Step 4: Simplify right side
    5,853.81x = 27,050,283.77
  5. Step 5: Solve for x
    x = 27,050,283.77/5,853.81
  6. Step 6: Final answer
    x = 4,620.97

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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.