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Finding the Fourth Proportional to 31,004.42, 42,786.18 and 16,857.18

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Solution

The fourth proportional to 31,004.42, 42,786.18 and 16,857.18 is: 23,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.42 : 42,786.18 = 16,857.18 : x
  2. Step 2: Convert to fraction form
    31,004.42/42,786.18 = 16,857.18/x
  3. Step 3: Cross multiply
    31,004.42x = 42,786.18 × 16,857.18
  4. Step 4: Simplify right side
    31,004.42x = 721,254,337.77
  5. Step 5: Solve for x
    x = 721,254,337.77/31,004.42
  6. Step 6: Final answer
    x = 23,262.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.