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Finding the Fourth Proportional to 31,059.16, 42,860.32 and 16,912

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Solution

The fourth proportional to 31,059.16, 42,860.32 and 16,912 is: 23,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.16 : 42,860.32 = 16,912 : x
  2. Step 2: Convert to fraction form
    31,059.16/42,860.32 = 16,912/x
  3. Step 3: Cross multiply
    31,059.16x = 42,860.32 × 16,912
  4. Step 4: Simplify right side
    31,059.16x = 724,853,731.84
  5. Step 5: Solve for x
    x = 724,853,731.84/31,059.16
  6. Step 6: Final answer
    x = 23,337.84

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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.