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Finding the Fourth Proportional to 10,853.70, 16,281.03 and 3,458.70

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Solution

The fourth proportional to 10,853.70, 16,281.03 and 3,458.70 is: 5,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.70 : 16,281.03 = 3,458.70 : x
  2. Step 2: Convert to fraction form
    10,853.70/16,281.03 = 3,458.70/x
  3. Step 3: Cross multiply
    10,853.70x = 16,281.03 × 3,458.70
  4. Step 4: Simplify right side
    10,853.70x = 56,311,198.46
  5. Step 5: Solve for x
    x = 56,311,198.46/10,853.70
  6. Step 6: Final answer
    x = 5,188.20

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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.