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Finding the Fourth Proportional to 30,531, 42,132.78 and 17,283

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Solution

The fourth proportional to 30,531, 42,132.78 and 17,283 is: 23,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531 : 42,132.78 = 17,283 : x
  2. Step 2: Convert to fraction form
    30,531/42,132.78 = 17,283/x
  3. Step 3: Cross multiply
    30,531x = 42,132.78 × 17,283
  4. Step 4: Simplify right side
    30,531x = 728,180,836.74
  5. Step 5: Solve for x
    x = 728,180,836.74/30,531
  6. Step 6: Final answer
    x = 23,850.54

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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.