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Finding the Fourth Proportional to 13,455, 18,567.92 and 7,567

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Solution

The fourth proportional to 13,455, 18,567.92 and 7,567 is: 10,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455 : 18,567.92 = 7,567 : x
  2. Step 2: Convert to fraction form
    13,455/18,567.92 = 7,567/x
  3. Step 3: Cross multiply
    13,455x = 18,567.92 × 7,567
  4. Step 4: Simplify right side
    13,455x = 140,503,450.64
  5. Step 5: Solve for x
    x = 140,503,450.64/13,455
  6. Step 6: Final answer
    x = 10,442.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.