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Finding the Fourth Proportional to 30,464.32, 45,687.84 and 11,992

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Solution

The fourth proportional to 30,464.32, 45,687.84 and 11,992 is: 17,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.32 : 45,687.84 = 11,992 : x
  2. Step 2: Convert to fraction form
    30,464.32/45,687.84 = 11,992/x
  3. Step 3: Cross multiply
    30,464.32x = 45,687.84 × 11,992
  4. Step 4: Simplify right side
    30,464.32x = 547,888,577.28
  5. Step 5: Solve for x
    x = 547,888,577.28/30,464.32
  6. Step 6: Final answer
    x = 17,984.60

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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.