Home / 13,023-19,537.74-3,789

Finding the Fourth Proportional to 13,023, 19,537.74 and 3,789

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Solution

The fourth proportional to 13,023, 19,537.74 and 3,789 is: 5,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023 : 19,537.74 = 3,789 : x
  2. Step 2: Convert to fraction form
    13,023/19,537.74 = 3,789/x
  3. Step 3: Cross multiply
    13,023x = 19,537.74 × 3,789
  4. Step 4: Simplify right side
    13,023x = 74,028,496.86
  5. Step 5: Solve for x
    x = 74,028,496.86/13,023
  6. Step 6: Final answer
    x = 5,684.44

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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.