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Finding the Fourth Proportional to 7,696.40, 11,544.60 and 2,502.80

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Solution

The fourth proportional to 7,696.40, 11,544.60 and 2,502.80 is: 3,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.40 : 11,544.60 = 2,502.80 : x
  2. Step 2: Convert to fraction form
    7,696.40/11,544.60 = 2,502.80/x
  3. Step 3: Cross multiply
    7,696.40x = 11,544.60 × 2,502.80
  4. Step 4: Simplify right side
    7,696.40x = 28,893,824.88
  5. Step 5: Solve for x
    x = 28,893,824.88/7,696.40
  6. Step 6: Final answer
    x = 3,754.20

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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.