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Finding the Fourth Proportional to 39,758.40, 59,621.40 and 13,449.60

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Solution

The fourth proportional to 39,758.40, 59,621.40 and 13,449.60 is: 20,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758.40 : 59,621.40 = 13,449.60 : x
  2. Step 2: Convert to fraction form
    39,758.40/59,621.40 = 13,449.60/x
  3. Step 3: Cross multiply
    39,758.40x = 59,621.40 × 13,449.60
  4. Step 4: Simplify right side
    39,758.40x = 801,883,981.44
  5. Step 5: Solve for x
    x = 801,883,981.44/39,758.40
  6. Step 6: Final answer
    x = 20,168.92

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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.