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Finding the Fourth Proportional to 30,751.80, 46,149.30 and 13,234.20

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Solution

The fourth proportional to 30,751.80, 46,149.30 and 13,234.20 is: 19,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.80 : 46,149.30 = 13,234.20 : x
  2. Step 2: Convert to fraction form
    30,751.80/46,149.30 = 13,234.20/x
  3. Step 3: Cross multiply
    30,751.80x = 46,149.30 × 13,234.20
  4. Step 4: Simplify right side
    30,751.80x = 610,749,066.06
  5. Step 5: Solve for x
    x = 610,749,066.06/30,751.80
  6. Step 6: Final answer
    x = 19,860.60

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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.