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Finding the Fourth Proportional to 31,143.94, 42,978.93 and 16,996.78

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Solution

The fourth proportional to 31,143.94, 42,978.93 and 16,996.78 is: 23,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.94 : 42,978.93 = 16,996.78 : x
  2. Step 2: Convert to fraction form
    31,143.94/42,978.93 = 16,996.78/x
  3. Step 3: Cross multiply
    31,143.94x = 42,978.93 × 16,996.78
  4. Step 4: Simplify right side
    31,143.94x = 730,503,310.40
  5. Step 5: Solve for x
    x = 730,503,310.40/31,143.94
  6. Step 6: Final answer
    x = 23,455.71

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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.