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Finding the Fourth Proportional to 30,420.43, 41,976.02 and 16,989.97

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Solution

The fourth proportional to 30,420.43, 41,976.02 and 16,989.97 is: 23,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.43 : 41,976.02 = 16,989.97 : x
  2. Step 2: Convert to fraction form
    30,420.43/41,976.02 = 16,989.97/x
  3. Step 3: Cross multiply
    30,420.43x = 41,976.02 × 16,989.97
  4. Step 4: Simplify right side
    30,420.43x = 713,171,130.63
  5. Step 5: Solve for x
    x = 713,171,130.63/30,420.43
  6. Step 6: Final answer
    x = 23,443.82

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1.5x scale

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.