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Finding the Fourth Proportional to 10,855.34, 16,284.19 and 3,458.06

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Solution

The fourth proportional to 10,855.34, 16,284.19 and 3,458.06 is: 5,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.34 : 16,284.19 = 3,458.06 : x
  2. Step 2: Convert to fraction form
    10,855.34/16,284.19 = 3,458.06/x
  3. Step 3: Cross multiply
    10,855.34x = 16,284.19 × 3,458.06
  4. Step 4: Simplify right side
    10,855.34x = 56,311,706.07
  5. Step 5: Solve for x
    x = 56,311,706.07/10,855.34
  6. Step 6: Final answer
    x = 5,187.47

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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.