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Finding the Fourth Proportional to 30,426.32, 45,642.36 and 11,954

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Solution

The fourth proportional to 30,426.32, 45,642.36 and 11,954 is: 17,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.32 : 45,642.36 = 11,954 : x
  2. Step 2: Convert to fraction form
    30,426.32/45,642.36 = 11,954/x
  3. Step 3: Cross multiply
    30,426.32x = 45,642.36 × 11,954
  4. Step 4: Simplify right side
    30,426.32x = 545,608,771.44
  5. Step 5: Solve for x
    x = 545,608,771.44/30,426.32
  6. Step 6: Final answer
    x = 17,932.13

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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.