Home / 13,825.84-20,742-6,435.44

Finding the Fourth Proportional to 13,825.84, 20,742 and 6,435.44

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Solution

The fourth proportional to 13,825.84, 20,742 and 6,435.44 is: 9,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.84 : 20,742 = 6,435.44 : x
  2. Step 2: Convert to fraction form
    13,825.84/20,742 = 6,435.44/x
  3. Step 3: Cross multiply
    13,825.84x = 20,742 × 6,435.44
  4. Step 4: Simplify right side
    13,825.84x = 133,483,896.48
  5. Step 5: Solve for x
    x = 133,483,896.48/13,825.84
  6. Step 6: Final answer
    x = 9,654.67

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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.