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Finding the Fourth Proportional to 30,300, 45,454.92 and 8,954.88

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Solution

The fourth proportional to 30,300, 45,454.92 and 8,954.88 is: 13,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300 : 45,454.92 = 8,954.88 : x
  2. Step 2: Convert to fraction form
    30,300/45,454.92 = 8,954.88/x
  3. Step 3: Cross multiply
    30,300x = 45,454.92 × 8,954.88
  4. Step 4: Simplify right side
    30,300x = 407,043,387.59
  5. Step 5: Solve for x
    x = 407,043,387.59/30,300
  6. Step 6: Final answer
    x = 13,433.78

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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.