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Finding the Fourth Proportional to 13,506.66, 20,222.73 and 6,918.66

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Solution

The fourth proportional to 13,506.66, 20,222.73 and 6,918.66 is: 10,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.66 : 20,222.73 = 6,918.66 : x
  2. Step 2: Convert to fraction form
    13,506.66/20,222.73 = 6,918.66/x
  3. Step 3: Cross multiply
    13,506.66x = 20,222.73 × 6,918.66
  4. Step 4: Simplify right side
    13,506.66x = 139,914,193.14
  5. Step 5: Solve for x
    x = 139,914,193.14/13,506.66
  6. Step 6: Final answer
    x = 10,358.90

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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.