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Finding the Fourth Proportional to 30,661.88, 45,997.26 and 10,938.68

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Solution

The fourth proportional to 30,661.88, 45,997.26 and 10,938.68 is: 16,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.88 : 45,997.26 = 10,938.68 : x
  2. Step 2: Convert to fraction form
    30,661.88/45,997.26 = 10,938.68/x
  3. Step 3: Cross multiply
    30,661.88x = 45,997.26 × 10,938.68
  4. Step 4: Simplify right side
    30,661.88x = 503,149,308.02
  5. Step 5: Solve for x
    x = 503,149,308.02/30,661.88
  6. Step 6: Final answer
    x = 16,409.60

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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.