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Finding the Fourth Proportional to 30,842.40, 46,231.20 and 12,115.20

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Solution

The fourth proportional to 30,842.40, 46,231.20 and 12,115.20 is: 18,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.40 : 46,231.20 = 12,115.20 : x
  2. Step 2: Convert to fraction form
    30,842.40/46,231.20 = 12,115.20/x
  3. Step 3: Cross multiply
    30,842.40x = 46,231.20 × 12,115.20
  4. Step 4: Simplify right side
    30,842.40x = 560,100,234.24
  5. Step 5: Solve for x
    x = 560,100,234.24/30,842.40
  6. Step 6: Final answer
    x = 18,160.07

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1.5x scale

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.