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Finding the Fourth Proportional to 13,506.16, 20,221.92 and 6,918.16

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Solution

The fourth proportional to 13,506.16, 20,221.92 and 6,918.16 is: 10,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.16 : 20,221.92 = 6,918.16 : x
  2. Step 2: Convert to fraction form
    13,506.16/20,221.92 = 6,918.16/x
  3. Step 3: Cross multiply
    13,506.16x = 20,221.92 × 6,918.16
  4. Step 4: Simplify right side
    13,506.16x = 139,898,478.07
  5. Step 5: Solve for x
    x = 139,898,478.07/13,506.16
  6. Step 6: Final answer
    x = 10,358.12

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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.