Home / 13,742.04-20,562-8,198.40

Finding the Fourth Proportional to 13,742.04, 20,562 and 8,198.40

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Solution

The fourth proportional to 13,742.04, 20,562 and 8,198.40 is: 12,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.04 : 20,562 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    13,742.04/20,562 = 8,198.40/x
  3. Step 3: Cross multiply
    13,742.04x = 20,562 × 8,198.40
  4. Step 4: Simplify right side
    13,742.04x = 168,575,500.80
  5. Step 5: Solve for x
    x = 168,575,500.80/13,742.04
  6. Step 6: Final answer
    x = 12,267.14

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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.