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Finding the Fourth Proportional to 30,694, 42,359.86 and 17,266.54

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Solution

The fourth proportional to 30,694, 42,359.86 and 17,266.54 is: 23,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694 : 42,359.86 = 17,266.54 : x
  2. Step 2: Convert to fraction form
    30,694/42,359.86 = 17,266.54/x
  3. Step 3: Cross multiply
    30,694x = 42,359.86 × 17,266.54
  4. Step 4: Simplify right side
    30,694x = 731,408,217.08
  5. Step 5: Solve for x
    x = 731,408,217.08/30,694
  6. Step 6: Final answer
    x = 23,829.03

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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.