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Finding the Fourth Proportional to 13,658.87, 20,489.43 and 3,798.23

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Solution

The fourth proportional to 13,658.87, 20,489.43 and 3,798.23 is: 5,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.87 : 20,489.43 = 3,798.23 : x
  2. Step 2: Convert to fraction form
    13,658.87/20,489.43 = 3,798.23/x
  3. Step 3: Cross multiply
    13,658.87x = 20,489.43 × 3,798.23
  4. Step 4: Simplify right side
    13,658.87x = 77,823,465.26
  5. Step 5: Solve for x
    x = 77,823,465.26/13,658.87
  6. Step 6: Final answer
    x = 5,697.65

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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.