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Finding the Fourth Proportional to 30,609.98, 42,242.40 and 17,182.21

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Solution

The fourth proportional to 30,609.98, 42,242.40 and 17,182.21 is: 23,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.98 : 42,242.40 = 17,182.21 : x
  2. Step 2: Convert to fraction form
    30,609.98/42,242.40 = 17,182.21/x
  3. Step 3: Cross multiply
    30,609.98x = 42,242.40 × 17,182.21
  4. Step 4: Simplify right side
    30,609.98x = 725,817,725.05
  5. Step 5: Solve for x
    x = 725,817,725.05/30,609.98
  6. Step 6: Final answer
    x = 23,711.80

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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.