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Finding the Fourth Proportional to 30,381, 45,579.60 and 9,604.50

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Solution

The fourth proportional to 30,381, 45,579.60 and 9,604.50 is: 14,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381 : 45,579.60 = 9,604.50 : x
  2. Step 2: Convert to fraction form
    30,381/45,579.60 = 9,604.50/x
  3. Step 3: Cross multiply
    30,381x = 45,579.60 × 9,604.50
  4. Step 4: Simplify right side
    30,381x = 437,769,268.20
  5. Step 5: Solve for x
    x = 437,769,268.20/30,381
  6. Step 6: Final answer
    x = 14,409.31

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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.