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Finding the Fourth Proportional to 7,689.12, 11,538 and 3,072.48

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Solution

The fourth proportional to 7,689.12, 11,538 and 3,072.48 is: 4,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.12 : 11,538 = 3,072.48 : x
  2. Step 2: Convert to fraction form
    7,689.12/11,538 = 3,072.48/x
  3. Step 3: Cross multiply
    7,689.12x = 11,538 × 3,072.48
  4. Step 4: Simplify right side
    7,689.12x = 35,450,274.24
  5. Step 5: Solve for x
    x = 35,450,274.24/7,689.12
  6. Step 6: Final answer
    x = 4,610.45

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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.