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Finding the Fourth Proportional to 30,535.99, 45,795.78 and 20,735.49

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Solution

The fourth proportional to 30,535.99, 45,795.78 and 20,735.49 is: 31,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.99 : 45,795.78 = 20,735.49 : x
  2. Step 2: Convert to fraction form
    30,535.99/45,795.78 = 20,735.49/x
  3. Step 3: Cross multiply
    30,535.99x = 45,795.78 × 20,735.49
  4. Step 4: Simplify right side
    30,535.99x = 949,598,109.97
  5. Step 5: Solve for x
    x = 949,598,109.97/30,535.99
  6. Step 6: Final answer
    x = 31,097.67

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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.