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Finding the Fourth Proportional to 30,653.82, 42,302.51 and 17,224.74

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Solution

The fourth proportional to 30,653.82, 42,302.51 and 17,224.74 is: 23,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.82 : 42,302.51 = 17,224.74 : x
  2. Step 2: Convert to fraction form
    30,653.82/42,302.51 = 17,224.74/x
  3. Step 3: Cross multiply
    30,653.82x = 42,302.51 × 17,224.74
  4. Step 4: Simplify right side
    30,653.82x = 728,649,649.97
  5. Step 5: Solve for x
    x = 728,649,649.97/30,653.82
  6. Step 6: Final answer
    x = 23,770.27

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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.