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Finding the Fourth Proportional to 20,028.83, 30,045 and 5,237.69

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Solution

The fourth proportional to 20,028.83, 30,045 and 5,237.69 is: 7,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.83 : 30,045 = 5,237.69 : x
  2. Step 2: Convert to fraction form
    20,028.83/30,045 = 5,237.69/x
  3. Step 3: Cross multiply
    20,028.83x = 30,045 × 5,237.69
  4. Step 4: Simplify right side
    20,028.83x = 157,366,396.05
  5. Step 5: Solve for x
    x = 157,366,396.05/20,028.83
  6. Step 6: Final answer
    x = 7,856.99

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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.