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Finding the Fourth Proportional to 11,930.64, 17,903 and 4,541.32

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Solution

The fourth proportional to 11,930.64, 17,903 and 4,541.32 is: 6,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.64 : 17,903 = 4,541.32 : x
  2. Step 2: Convert to fraction form
    11,930.64/17,903 = 4,541.32/x
  3. Step 3: Cross multiply
    11,930.64x = 17,903 × 4,541.32
  4. Step 4: Simplify right side
    11,930.64x = 81,303,251.96
  5. Step 5: Solve for x
    x = 81,303,251.96/11,930.64
  6. Step 6: Final answer
    x = 6,814.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.