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Finding the Fourth Proportional to 30,107.04, 41,568 and 18,793.76

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Solution

The fourth proportional to 30,107.04, 41,568 and 18,793.76 is: 25,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.04 : 41,568 = 18,793.76 : x
  2. Step 2: Convert to fraction form
    30,107.04/41,568 = 18,793.76/x
  3. Step 3: Cross multiply
    30,107.04x = 41,568 × 18,793.76
  4. Step 4: Simplify right side
    30,107.04x = 781,219,015.68
  5. Step 5: Solve for x
    x = 781,219,015.68/30,107.04
  6. Step 6: Final answer
    x = 25,948.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.