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Finding the Fourth Proportional to 17,220.48, 23,765.04 and 13,488

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Solution

The fourth proportional to 17,220.48, 23,765.04 and 13,488 is: 18,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.48 : 23,765.04 = 13,488 : x
  2. Step 2: Convert to fraction form
    17,220.48/23,765.04 = 13,488/x
  3. Step 3: Cross multiply
    17,220.48x = 23,765.04 × 13,488
  4. Step 4: Simplify right side
    17,220.48x = 320,542,859.52
  5. Step 5: Solve for x
    x = 320,542,859.52/17,220.48
  6. Step 6: Final answer
    x = 18,614.05

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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.