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Finding the Fourth Proportional to 30,674.44, 45,980.66 and 11,942.80

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Solution

The fourth proportional to 30,674.44, 45,980.66 and 11,942.80 is: 17,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.44 : 45,980.66 = 11,942.80 : x
  2. Step 2: Convert to fraction form
    30,674.44/45,980.66 = 11,942.80/x
  3. Step 3: Cross multiply
    30,674.44x = 45,980.66 × 11,942.80
  4. Step 4: Simplify right side
    30,674.44x = 549,137,826.25
  5. Step 5: Solve for x
    x = 549,137,826.25/30,674.44
  6. Step 6: Final answer
    x = 17,902.13

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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.