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Finding the Fourth Proportional to 9,855.94, 14,778.69 and 4,302.80

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Solution

The fourth proportional to 9,855.94, 14,778.69 and 4,302.80 is: 6,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.94 : 14,778.69 = 4,302.80 : x
  2. Step 2: Convert to fraction form
    9,855.94/14,778.69 = 4,302.80/x
  3. Step 3: Cross multiply
    9,855.94x = 14,778.69 × 4,302.80
  4. Step 4: Simplify right side
    9,855.94x = 63,589,747.33
  5. Step 5: Solve for x
    x = 63,589,747.33/9,855.94
  6. Step 6: Final answer
    x = 6,451.92

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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.