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Finding the Fourth Proportional to 6,488.63, 9,736.65 and 2,540.21

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Solution

The fourth proportional to 6,488.63, 9,736.65 and 2,540.21 is: 3,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.63 : 9,736.65 = 2,540.21 : x
  2. Step 2: Convert to fraction form
    6,488.63/9,736.65 = 2,540.21/x
  3. Step 3: Cross multiply
    6,488.63x = 9,736.65 × 2,540.21
  4. Step 4: Simplify right side
    6,488.63x = 24,733,135.70
  5. Step 5: Solve for x
    x = 24,733,135.70/6,488.63
  6. Step 6: Final answer
    x = 3,811.77

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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.