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Finding the Fourth Proportional to 30,806.28, 46,209.36 and 12,338.28

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Solution

The fourth proportional to 30,806.28, 46,209.36 and 12,338.28 is: 18,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.28 : 46,209.36 = 12,338.28 : x
  2. Step 2: Convert to fraction form
    30,806.28/46,209.36 = 12,338.28/x
  3. Step 3: Cross multiply
    30,806.28x = 46,209.36 × 12,338.28
  4. Step 4: Simplify right side
    30,806.28x = 570,144,022.30
  5. Step 5: Solve for x
    x = 570,144,022.30/30,806.28
  6. Step 6: Final answer
    x = 18,507.40

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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.