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Finding the Fourth Proportional to 30,580, 42,201.04 and 17,332

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Solution

The fourth proportional to 30,580, 42,201.04 and 17,332 is: 23,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580 : 42,201.04 = 17,332 : x
  2. Step 2: Convert to fraction form
    30,580/42,201.04 = 17,332/x
  3. Step 3: Cross multiply
    30,580x = 42,201.04 × 17,332
  4. Step 4: Simplify right side
    30,580x = 731,428,425.28
  5. Step 5: Solve for x
    x = 731,428,425.28/30,580
  6. Step 6: Final answer
    x = 23,918.52

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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.