Home / 13,982-20,968.52-4,619.84

Finding the Fourth Proportional to 13,982, 20,968.52 and 4,619.84

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Solution

The fourth proportional to 13,982, 20,968.52 and 4,619.84 is: 6,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 20,968.52 = 4,619.84 : x
  2. Step 2: Convert to fraction form
    13,982/20,968.52 = 4,619.84/x
  3. Step 3: Cross multiply
    13,982x = 20,968.52 × 4,619.84
  4. Step 4: Simplify right side
    13,982x = 96,871,207.44
  5. Step 5: Solve for x
    x = 96,871,207.44/13,982
  6. Step 6: Final answer
    x = 6,928.28

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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.