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Finding the Fourth Proportional to 6,798.88, 10,178.40 and 5,161.84

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Solution

The fourth proportional to 6,798.88, 10,178.40 and 5,161.84 is: 7,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.88 : 10,178.40 = 5,161.84 : x
  2. Step 2: Convert to fraction form
    6,798.88/10,178.40 = 5,161.84/x
  3. Step 3: Cross multiply
    6,798.88x = 10,178.40 × 5,161.84
  4. Step 4: Simplify right side
    6,798.88x = 52,539,272.26
  5. Step 5: Solve for x
    x = 52,539,272.26/6,798.88
  6. Step 6: Final answer
    x = 7,727.64

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