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Finding the Fourth Proportional to 13,656, 20,327.64 and 13,018.80

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Solution

The fourth proportional to 13,656, 20,327.64 and 13,018.80 is: 19,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656 : 20,327.64 = 13,018.80 : x
  2. Step 2: Convert to fraction form
    13,656/20,327.64 = 13,018.80/x
  3. Step 3: Cross multiply
    13,656x = 20,327.64 × 13,018.80
  4. Step 4: Simplify right side
    13,656x = 264,641,479.63
  5. Step 5: Solve for x
    x = 264,641,479.63/13,656
  6. Step 6: Final answer
    x = 19,379.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.