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Finding the Fourth Proportional to 30,392, 45,609.60 and 11,924

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Solution

The fourth proportional to 30,392, 45,609.60 and 11,924 is: 17,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392 : 45,609.60 = 11,924 : x
  2. Step 2: Convert to fraction form
    30,392/45,609.60 = 11,924/x
  3. Step 3: Cross multiply
    30,392x = 45,609.60 × 11,924
  4. Step 4: Simplify right side
    30,392x = 543,848,870.40
  5. Step 5: Solve for x
    x = 543,848,870.40/30,392
  6. Step 6: Final answer
    x = 17,894.47

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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.