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Finding the Fourth Proportional to 30,419.62, 45,629.43 and 19,898.49

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Solution

The fourth proportional to 30,419.62, 45,629.43 and 19,898.49 is: 29,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.62 : 45,629.43 = 19,898.49 : x
  2. Step 2: Convert to fraction form
    30,419.62/45,629.43 = 19,898.49/x
  3. Step 3: Cross multiply
    30,419.62x = 45,629.43 × 19,898.49
  4. Step 4: Simplify right side
    30,419.62x = 907,956,756.56
  5. Step 5: Solve for x
    x = 907,956,756.56/30,419.62
  6. Step 6: Final answer
    x = 29,847.74

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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.