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Finding the Fourth Proportional to 7,651.36, 11,478.12 and 2,456

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Solution

The fourth proportional to 7,651.36, 11,478.12 and 2,456 is: 3,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.36 : 11,478.12 = 2,456 : x
  2. Step 2: Convert to fraction form
    7,651.36/11,478.12 = 2,456/x
  3. Step 3: Cross multiply
    7,651.36x = 11,478.12 × 2,456
  4. Step 4: Simplify right side
    7,651.36x = 28,190,262.72
  5. Step 5: Solve for x
    x = 28,190,262.72/7,651.36
  6. Step 6: Final answer
    x = 3,684.35

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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.