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Finding the Fourth Proportional to 31,978.64, 47,938.74 and 11,190.80

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Solution

The fourth proportional to 31,978.64, 47,938.74 and 11,190.80 is: 16,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.64 : 47,938.74 = 11,190.80 : x
  2. Step 2: Convert to fraction form
    31,978.64/47,938.74 = 11,190.80/x
  3. Step 3: Cross multiply
    31,978.64x = 47,938.74 × 11,190.80
  4. Step 4: Simplify right side
    31,978.64x = 536,472,851.59
  5. Step 5: Solve for x
    x = 536,472,851.59/31,978.64
  6. Step 6: Final answer
    x = 16,775.97

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