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Finding the Fourth Proportional to 30,483, 42,072.30 and 17,235

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Solution

The fourth proportional to 30,483, 42,072.30 and 17,235 is: 23,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483 : 42,072.30 = 17,235 : x
  2. Step 2: Convert to fraction form
    30,483/42,072.30 = 17,235/x
  3. Step 3: Cross multiply
    30,483x = 42,072.30 × 17,235
  4. Step 4: Simplify right side
    30,483x = 725,116,090.50
  5. Step 5: Solve for x
    x = 725,116,090.50/30,483
  6. Step 6: Final answer
    x = 23,787.56

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Why These Related Problems?

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