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Finding the Fourth Proportional to 11,907.45, 16,431.12 and 6,602.16

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Solution

The fourth proportional to 11,907.45, 16,431.12 and 6,602.16 is: 9,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.45 : 16,431.12 = 6,602.16 : x
  2. Step 2: Convert to fraction form
    11,907.45/16,431.12 = 6,602.16/x
  3. Step 3: Cross multiply
    11,907.45x = 16,431.12 × 6,602.16
  4. Step 4: Simplify right side
    11,907.45x = 108,480,883.22
  5. Step 5: Solve for x
    x = 108,480,883.22/11,907.45
  6. Step 6: Final answer
    x = 9,110.34

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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.