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Finding the Fourth Proportional to 31,108.60, 46,662.90 and 17,986.60

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Solution

The fourth proportional to 31,108.60, 46,662.90 and 17,986.60 is: 26,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.60 : 46,662.90 = 17,986.60 : x
  2. Step 2: Convert to fraction form
    31,108.60/46,662.90 = 17,986.60/x
  3. Step 3: Cross multiply
    31,108.60x = 46,662.90 × 17,986.60
  4. Step 4: Simplify right side
    31,108.60x = 839,306,917.14
  5. Step 5: Solve for x
    x = 839,306,917.14/31,108.60
  6. Step 6: Final answer
    x = 26,979.90

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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.