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Finding the Fourth Proportional to 30,864, 42,598.08 and 17,616

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Solution

The fourth proportional to 30,864, 42,598.08 and 17,616 is: 24,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 42,598.08 = 17,616 : x
  2. Step 2: Convert to fraction form
    30,864/42,598.08 = 17,616/x
  3. Step 3: Cross multiply
    30,864x = 42,598.08 × 17,616
  4. Step 4: Simplify right side
    30,864x = 750,407,777.28
  5. Step 5: Solve for x
    x = 750,407,777.28/30,864
  6. Step 6: Final answer
    x = 24,313.37

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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.