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Finding the Fourth Proportional to 30,588, 42,218.40 and 18,016.80

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Solution

The fourth proportional to 30,588, 42,218.40 and 18,016.80 is: 24,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588 : 42,218.40 = 18,016.80 : x
  2. Step 2: Convert to fraction form
    30,588/42,218.40 = 18,016.80/x
  3. Step 3: Cross multiply
    30,588x = 42,218.40 × 18,016.80
  4. Step 4: Simplify right side
    30,588x = 760,640,469.12
  5. Step 5: Solve for x
    x = 760,640,469.12/30,588
  6. Step 6: Final answer
    x = 24,867.28

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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.