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Finding the Fourth Proportional to 30,422.52, 45,642.90 and 11,704.24

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Solution

The fourth proportional to 30,422.52, 45,642.90 and 11,704.24 is: 17,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,422.52 : 45,642.90 = 11,704.24 : x
  2. Step 2: Convert to fraction form
    30,422.52/45,642.90 = 11,704.24/x
  3. Step 3: Cross multiply
    30,422.52x = 45,642.90 × 11,704.24
  4. Step 4: Simplify right side
    30,422.52x = 534,215,455.90
  5. Step 5: Solve for x
    x = 534,215,455.90/30,422.52
  6. Step 6: Final answer
    x = 17,559.87

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