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Finding the Fourth Proportional to 33,980.40, 50,978.70 and 16,435.80

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Solution

The fourth proportional to 33,980.40, 50,978.70 and 16,435.80 is: 24,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.40 : 50,978.70 = 16,435.80 : x
  2. Step 2: Convert to fraction form
    33,980.40/50,978.70 = 16,435.80/x
  3. Step 3: Cross multiply
    33,980.40x = 50,978.70 × 16,435.80
  4. Step 4: Simplify right side
    33,980.40x = 837,875,717.46
  5. Step 5: Solve for x
    x = 837,875,717.46/33,980.40
  6. Step 6: Final answer
    x = 24,657.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.