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Finding the Fourth Proportional to 11,900.32, 16,425.84 and 7,184.92

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Solution

The fourth proportional to 11,900.32, 16,425.84 and 7,184.92 is: 9,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.32 : 16,425.84 = 7,184.92 : x
  2. Step 2: Convert to fraction form
    11,900.32/16,425.84 = 7,184.92/x
  3. Step 3: Cross multiply
    11,900.32x = 16,425.84 × 7,184.92
  4. Step 4: Simplify right side
    11,900.32x = 118,018,346.33
  5. Step 5: Solve for x
    x = 118,018,346.33/11,900.32
  6. Step 6: Final answer
    x = 9,917.24

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