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Finding the Fourth Proportional to 13,542.62, 18,689.51 and 7,573.93

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Solution

The fourth proportional to 13,542.62, 18,689.51 and 7,573.93 is: 10,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.62 : 18,689.51 = 7,573.93 : x
  2. Step 2: Convert to fraction form
    13,542.62/18,689.51 = 7,573.93/x
  3. Step 3: Cross multiply
    13,542.62x = 18,689.51 × 7,573.93
  4. Step 4: Simplify right side
    13,542.62x = 141,553,012.69
  5. Step 5: Solve for x
    x = 141,553,012.69/13,542.62
  6. Step 6: Final answer
    x = 10,452.41

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