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Finding the Fourth Proportional to 30,816, 42,531.84 and 17,568

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Solution

The fourth proportional to 30,816, 42,531.84 and 17,568 is: 24,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 42,531.84 = 17,568 : x
  2. Step 2: Convert to fraction form
    30,816/42,531.84 = 17,568/x
  3. Step 3: Cross multiply
    30,816x = 42,531.84 × 17,568
  4. Step 4: Simplify right side
    30,816x = 747,199,365.12
  5. Step 5: Solve for x
    x = 747,199,365.12/30,816
  6. Step 6: Final answer
    x = 24,247.12

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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.