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Finding the Fourth Proportional to 30,997.96, 46,470.74 and 13,454.60

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Solution

The fourth proportional to 30,997.96, 46,470.74 and 13,454.60 is: 20,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.96 : 46,470.74 = 13,454.60 : x
  2. Step 2: Convert to fraction form
    30,997.96/46,470.74 = 13,454.60/x
  3. Step 3: Cross multiply
    30,997.96x = 46,470.74 × 13,454.60
  4. Step 4: Simplify right side
    30,997.96x = 625,245,218.40
  5. Step 5: Solve for x
    x = 625,245,218.40/30,997.96
  6. Step 6: Final answer
    x = 20,170.53

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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.