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Finding the Fourth Proportional to 30,921.68, 46,391.16 and 12,190.16

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Solution

The fourth proportional to 30,921.68, 46,391.16 and 12,190.16 is: 18,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.68 : 46,391.16 = 12,190.16 : x
  2. Step 2: Convert to fraction form
    30,921.68/46,391.16 = 12,190.16/x
  3. Step 3: Cross multiply
    30,921.68x = 46,391.16 × 12,190.16
  4. Step 4: Simplify right side
    30,921.68x = 565,515,662.99
  5. Step 5: Solve for x
    x = 565,515,662.99/30,921.68
  6. Step 6: Final answer
    x = 18,288.65

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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.