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Finding the Fourth Proportional to 11,884.40, 16,410.32 and 7,415.64

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Solution

The fourth proportional to 11,884.40, 16,410.32 and 7,415.64 is: 10,239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.40 : 16,410.32 = 7,415.64 : x
  2. Step 2: Convert to fraction form
    11,884.40/16,410.32 = 7,415.64/x
  3. Step 3: Cross multiply
    11,884.40x = 16,410.32 × 7,415.64
  4. Step 4: Simplify right side
    11,884.40x = 121,693,025.40
  5. Step 5: Solve for x
    x = 121,693,025.40/11,884.40
  6. Step 6: Final answer
    x = 10,239.73

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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.