Home / 13,709.12-18,917.82-7,742

Finding the Fourth Proportional to 13,709.12, 18,917.82 and 7,742

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Solution

The fourth proportional to 13,709.12, 18,917.82 and 7,742 is: 10,683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.12 : 18,917.82 = 7,742 : x
  2. Step 2: Convert to fraction form
    13,709.12/18,917.82 = 7,742/x
  3. Step 3: Cross multiply
    13,709.12x = 18,917.82 × 7,742
  4. Step 4: Simplify right side
    13,709.12x = 146,461,762.44
  5. Step 5: Solve for x
    x = 146,461,762.44/13,709.12
  6. Step 6: Final answer
    x = 10,683.53

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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.