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Finding the Fourth Proportional to 20,410.84, 30,616.64 and 5,619.68

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Solution

The fourth proportional to 20,410.84, 30,616.64 and 5,619.68 is: 8,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.84 : 30,616.64 = 5,619.68 : x
  2. Step 2: Convert to fraction form
    20,410.84/30,616.64 = 5,619.68/x
  3. Step 3: Cross multiply
    20,410.84x = 30,616.64 × 5,619.68
  4. Step 4: Simplify right side
    20,410.84x = 172,055,719.48
  5. Step 5: Solve for x
    x = 172,055,719.48/20,410.84
  6. Step 6: Final answer
    x = 8,429.62

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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.