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Finding the Fourth Proportional to 7,688, 11,537.12 and 2,824

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Solution

The fourth proportional to 7,688, 11,537.12 and 2,824 is: 4,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 11,537.12 = 2,824 : x
  2. Step 2: Convert to fraction form
    7,688/11,537.12 = 2,824/x
  3. Step 3: Cross multiply
    7,688x = 11,537.12 × 2,824
  4. Step 4: Simplify right side
    7,688x = 32,580,826.88
  5. Step 5: Solve for x
    x = 32,580,826.88/7,688
  6. Step 6: Final answer
    x = 4,237.88

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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.