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Finding the Fourth Proportional to 14,640, 20,203.20 and 8,016

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Solution

The fourth proportional to 14,640, 20,203.20 and 8,016 is: 11,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 20,203.20 = 8,016 : x
  2. Step 2: Convert to fraction form
    14,640/20,203.20 = 8,016/x
  3. Step 3: Cross multiply
    14,640x = 20,203.20 × 8,016
  4. Step 4: Simplify right side
    14,640x = 161,948,851.20
  5. Step 5: Solve for x
    x = 161,948,851.20/14,640
  6. Step 6: Final answer
    x = 11,062.08

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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.