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Finding the Fourth Proportional to 30,641.33, 42,282.73 and 17,209.96

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Solution

The fourth proportional to 30,641.33, 42,282.73 and 17,209.96 is: 23,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.33 : 42,282.73 = 17,209.96 : x
  2. Step 2: Convert to fraction form
    30,641.33/42,282.73 = 17,209.96/x
  3. Step 3: Cross multiply
    30,641.33x = 42,282.73 × 17,209.96
  4. Step 4: Simplify right side
    30,641.33x = 727,683,910.99
  5. Step 5: Solve for x
    x = 727,683,910.99/30,641.33
  6. Step 6: Final answer
    x = 23,748.45

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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.