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Finding the Fourth Proportional to 10,820.70, 16,235.10 and 4,251.60

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Solution

The fourth proportional to 10,820.70, 16,235.10 and 4,251.60 is: 6,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.70 : 16,235.10 = 4,251.60 : x
  2. Step 2: Convert to fraction form
    10,820.70/16,235.10 = 4,251.60/x
  3. Step 3: Cross multiply
    10,820.70x = 16,235.10 × 4,251.60
  4. Step 4: Simplify right side
    10,820.70x = 69,025,151.16
  5. Step 5: Solve for x
    x = 69,025,151.16/10,820.70
  6. Step 6: Final answer
    x = 6,378.99

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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.