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Finding the Fourth Proportional to 35,740, 49,321.24 and 20,838.88

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Solution

The fourth proportional to 35,740, 49,321.24 and 20,838.88 is: 28,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740 : 49,321.24 = 20,838.88 : x
  2. Step 2: Convert to fraction form
    35,740/49,321.24 = 20,838.88/x
  3. Step 3: Cross multiply
    35,740x = 49,321.24 × 20,838.88
  4. Step 4: Simplify right side
    35,740x = 1,027,799,401.81
  5. Step 5: Solve for x
    x = 1,027,799,401.81/35,740
  6. Step 6: Final answer
    x = 28,757.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.