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Finding the Fourth Proportional to 30,250.40, 45,364.80 and 10,529.60

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Solution

The fourth proportional to 30,250.40, 45,364.80 and 10,529.60 is: 15,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.40 : 45,364.80 = 10,529.60 : x
  2. Step 2: Convert to fraction form
    30,250.40/45,364.80 = 10,529.60/x
  3. Step 3: Cross multiply
    30,250.40x = 45,364.80 × 10,529.60
  4. Step 4: Simplify right side
    30,250.40x = 477,673,198.08
  5. Step 5: Solve for x
    x = 477,673,198.08/30,250.40
  6. Step 6: Final answer
    x = 15,790.64

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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.