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Finding the Fourth Proportional to 10,684.40, 16,028.40 and 3,665.09

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Solution

The fourth proportional to 10,684.40, 16,028.40 and 3,665.09 is: 5,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.40 : 16,028.40 = 3,665.09 : x
  2. Step 2: Convert to fraction form
    10,684.40/16,028.40 = 3,665.09/x
  3. Step 3: Cross multiply
    10,684.40x = 16,028.40 × 3,665.09
  4. Step 4: Simplify right side
    10,684.40x = 58,745,448.41
  5. Step 5: Solve for x
    x = 58,745,448.41/10,684.40
  6. Step 6: Final answer
    x = 5,498.25

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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.