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Finding the Fourth Proportional to 11,858.64, 16,365.96 and 7,382.58

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Solution

The fourth proportional to 11,858.64, 16,365.96 and 7,382.58 is: 10,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.64 : 16,365.96 = 7,382.58 : x
  2. Step 2: Convert to fraction form
    11,858.64/16,365.96 = 7,382.58/x
  3. Step 3: Cross multiply
    11,858.64x = 16,365.96 × 7,382.58
  4. Step 4: Simplify right side
    11,858.64x = 120,823,008.98
  5. Step 5: Solve for x
    x = 120,823,008.98/11,858.64
  6. Step 6: Final answer
    x = 10,188.61

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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.