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Finding the Fourth Proportional to 30,406.53, 41,960.62 and 16,978.02

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Solution

The fourth proportional to 30,406.53, 41,960.62 and 16,978.02 is: 23,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.53 : 41,960.62 = 16,978.02 : x
  2. Step 2: Convert to fraction form
    30,406.53/41,960.62 = 16,978.02/x
  3. Step 3: Cross multiply
    30,406.53x = 41,960.62 × 16,978.02
  4. Step 4: Simplify right side
    30,406.53x = 712,408,245.57
  5. Step 5: Solve for x
    x = 712,408,245.57/30,406.53
  6. Step 6: Final answer
    x = 23,429.45

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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.