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Finding the Fourth Proportional to 9,788.40, 14,684.88 and 2,863.44

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Solution

The fourth proportional to 9,788.40, 14,684.88 and 2,863.44 is: 4,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.40 : 14,684.88 = 2,863.44 : x
  2. Step 2: Convert to fraction form
    9,788.40/14,684.88 = 2,863.44/x
  3. Step 3: Cross multiply
    9,788.40x = 14,684.88 × 2,863.44
  4. Step 4: Simplify right side
    9,788.40x = 42,049,272.79
  5. Step 5: Solve for x
    x = 42,049,272.79/9,788.40
  6. Step 6: Final answer
    x = 4,295.83

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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.