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Finding the Fourth Proportional to 6,698.88, 9,240.75 and 4,180.05

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Solution

The fourth proportional to 6,698.88, 9,240.75 and 4,180.05 is: 5,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.88 : 9,240.75 = 4,180.05 : x
  2. Step 2: Convert to fraction form
    6,698.88/9,240.75 = 4,180.05/x
  3. Step 3: Cross multiply
    6,698.88x = 9,240.75 × 4,180.05
  4. Step 4: Simplify right side
    6,698.88x = 38,626,797.04
  5. Step 5: Solve for x
    x = 38,626,797.04/6,698.88
  6. Step 6: Final answer
    x = 5,766.16

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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.