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Finding the Fourth Proportional to 7,675.47, 11,515.64 and 2,745

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Solution

The fourth proportional to 7,675.47, 11,515.64 and 2,745 is: 4,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.47 : 11,515.64 = 2,745 : x
  2. Step 2: Convert to fraction form
    7,675.47/11,515.64 = 2,745/x
  3. Step 3: Cross multiply
    7,675.47x = 11,515.64 × 2,745
  4. Step 4: Simplify right side
    7,675.47x = 31,610,418.08
  5. Step 5: Solve for x
    x = 31,610,418.08/7,675.47
  6. Step 6: Final answer
    x = 4,118.37

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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.