Home / 13,722.12-18,931.68-8,415

Finding the Fourth Proportional to 13,722.12, 18,931.68 and 8,415

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Solution

The fourth proportional to 13,722.12, 18,931.68 and 8,415 is: 11,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.12 : 18,931.68 = 8,415 : x
  2. Step 2: Convert to fraction form
    13,722.12/18,931.68 = 8,415/x
  3. Step 3: Cross multiply
    13,722.12x = 18,931.68 × 8,415
  4. Step 4: Simplify right side
    13,722.12x = 159,310,087.20
  5. Step 5: Solve for x
    x = 159,310,087.20/13,722.12
  6. Step 6: Final answer
    x = 11,609.73

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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.