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Finding the Fourth Proportional to 11,848.37, 16,331.27 and 8,400.11

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Solution

The fourth proportional to 11,848.37, 16,331.27 and 8,400.11 is: 11,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.37 : 16,331.27 = 8,400.11 : x
  2. Step 2: Convert to fraction form
    11,848.37/16,331.27 = 8,400.11/x
  3. Step 3: Cross multiply
    11,848.37x = 16,331.27 × 8,400.11
  4. Step 4: Simplify right side
    11,848.37x = 137,184,340.78
  5. Step 5: Solve for x
    x = 137,184,340.78/11,848.37
  6. Step 6: Final answer
    x = 11,578.34

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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.