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Finding the Fourth Proportional to 31,004.70, 42,786.80 and 16,857.86

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Solution

The fourth proportional to 31,004.70, 42,786.80 and 16,857.86 is: 23,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.70 : 42,786.80 = 16,857.86 : x
  2. Step 2: Convert to fraction form
    31,004.70/42,786.80 = 16,857.86/x
  3. Step 3: Cross multiply
    31,004.70x = 42,786.80 × 16,857.86
  4. Step 4: Simplify right side
    31,004.70x = 721,293,884.25
  5. Step 5: Solve for x
    x = 721,293,884.25/31,004.70
  6. Step 6: Final answer
    x = 23,264.02

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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.