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Finding the Fourth Proportional to 11,900.14, 16,415.11 and 7,420.43

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Solution

The fourth proportional to 11,900.14, 16,415.11 and 7,420.43 is: 10,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.14 : 16,415.11 = 7,420.43 : x
  2. Step 2: Convert to fraction form
    11,900.14/16,415.11 = 7,420.43/x
  3. Step 3: Cross multiply
    11,900.14x = 16,415.11 × 7,420.43
  4. Step 4: Simplify right side
    11,900.14x = 121,807,174.70
  5. Step 5: Solve for x
    x = 121,807,174.70/11,900.14
  6. Step 6: Final answer
    x = 10,235.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.