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Finding the Fourth Proportional to 11,188.64, 16,782.88 and 3,798.30

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Solution

The fourth proportional to 11,188.64, 16,782.88 and 3,798.30 is: 5,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.64 : 16,782.88 = 3,798.30 : x
  2. Step 2: Convert to fraction form
    11,188.64/16,782.88 = 3,798.30/x
  3. Step 3: Cross multiply
    11,188.64x = 16,782.88 × 3,798.30
  4. Step 4: Simplify right side
    11,188.64x = 63,746,413.10
  5. Step 5: Solve for x
    x = 63,746,413.10/11,188.64
  6. Step 6: Final answer
    x = 5,697.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.