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Finding the Fourth Proportional to 9,353.68, 12,907.48 and 5,372

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Solution

The fourth proportional to 9,353.68, 12,907.48 and 5,372 is: 7,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.68 : 12,907.48 = 5,372 : x
  2. Step 2: Convert to fraction form
    9,353.68/12,907.48 = 5,372/x
  3. Step 3: Cross multiply
    9,353.68x = 12,907.48 × 5,372
  4. Step 4: Simplify right side
    9,353.68x = 69,338,982.56
  5. Step 5: Solve for x
    x = 69,338,982.56/9,353.68
  6. Step 6: Final answer
    x = 7,413.02

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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.