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Finding the Fourth Proportional to 6,901.84, 9,519.24 and 4,106.80

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Solution

The fourth proportional to 6,901.84, 9,519.24 and 4,106.80 is: 5,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.84 : 9,519.24 = 4,106.80 : x
  2. Step 2: Convert to fraction form
    6,901.84/9,519.24 = 4,106.80/x
  3. Step 3: Cross multiply
    6,901.84x = 9,519.24 × 4,106.80
  4. Step 4: Simplify right side
    6,901.84x = 39,093,614.83
  5. Step 5: Solve for x
    x = 39,093,614.83/6,901.84
  6. Step 6: Final answer
    x = 5,664.23

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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.