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Finding the Fourth Proportional to 31,169.80, 43,013.64 and 17,022.70

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Solution

The fourth proportional to 31,169.80, 43,013.64 and 17,022.70 is: 23,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.80 : 43,013.64 = 17,022.70 : x
  2. Step 2: Convert to fraction form
    31,169.80/43,013.64 = 17,022.70/x
  3. Step 3: Cross multiply
    31,169.80x = 43,013.64 × 17,022.70
  4. Step 4: Simplify right side
    31,169.80x = 732,208,289.63
  5. Step 5: Solve for x
    x = 732,208,289.63/31,169.80
  6. Step 6: Final answer
    x = 23,490.95

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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.