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Finding the Fourth Proportional to 30,816, 42,526.08 and 17,568

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Solution

The fourth proportional to 30,816, 42,526.08 and 17,568 is: 24,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 42,526.08 = 17,568 : x
  2. Step 2: Convert to fraction form
    30,816/42,526.08 = 17,568/x
  3. Step 3: Cross multiply
    30,816x = 42,526.08 × 17,568
  4. Step 4: Simplify right side
    30,816x = 747,098,173.44
  5. Step 5: Solve for x
    x = 747,098,173.44/30,816
  6. Step 6: Final answer
    x = 24,243.84

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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.