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Finding the Fourth Proportional to 30,532, 42,134.16 and 17,284

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Solution

The fourth proportional to 30,532, 42,134.16 and 17,284 is: 23,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532 : 42,134.16 = 17,284 : x
  2. Step 2: Convert to fraction form
    30,532/42,134.16 = 17,284/x
  3. Step 3: Cross multiply
    30,532x = 42,134.16 × 17,284
  4. Step 4: Simplify right side
    30,532x = 728,246,821.44
  5. Step 5: Solve for x
    x = 728,246,821.44/30,532
  6. Step 6: Final answer
    x = 23,851.92

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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.