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Finding the Fourth Proportional to 10,800, 14,904 and 6,084.45

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Solution

The fourth proportional to 10,800, 14,904 and 6,084.45 is: 8,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 14,904 = 6,084.45 : x
  2. Step 2: Convert to fraction form
    10,800/14,904 = 6,084.45/x
  3. Step 3: Cross multiply
    10,800x = 14,904 × 6,084.45
  4. Step 4: Simplify right side
    10,800x = 90,682,642.80
  5. Step 5: Solve for x
    x = 90,682,642.80/10,800
  6. Step 6: Final answer
    x = 8,396.54

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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.