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Finding the Fourth Proportional to 7,821, 10,792.98 and 4,509

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Solution

The fourth proportional to 7,821, 10,792.98 and 4,509 is: 6,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 10,792.98 = 4,509 : x
  2. Step 2: Convert to fraction form
    7,821/10,792.98 = 4,509/x
  3. Step 3: Cross multiply
    7,821x = 10,792.98 × 4,509
  4. Step 4: Simplify right side
    7,821x = 48,665,546.82
  5. Step 5: Solve for x
    x = 48,665,546.82/7,821
  6. Step 6: Final answer
    x = 6,222.42

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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.