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Finding the Fourth Proportional to 30,561.80, 45,820.97 and 11,826.03

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Solution

The fourth proportional to 30,561.80, 45,820.97 and 11,826.03 is: 17,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.80 : 45,820.97 = 11,826.03 : x
  2. Step 2: Convert to fraction form
    30,561.80/45,820.97 = 11,826.03/x
  3. Step 3: Cross multiply
    30,561.80x = 45,820.97 × 11,826.03
  4. Step 4: Simplify right side
    30,561.80x = 541,880,106.72
  5. Step 5: Solve for x
    x = 541,880,106.72/30,561.80
  6. Step 6: Final answer
    x = 17,730.64

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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.