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Finding the Fourth Proportional to 30,205.96, 41,681.12 and 17,638

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Solution

The fourth proportional to 30,205.96, 41,681.12 and 17,638 is: 24,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.96 : 41,681.12 = 17,638 : x
  2. Step 2: Convert to fraction form
    30,205.96/41,681.12 = 17,638/x
  3. Step 3: Cross multiply
    30,205.96x = 41,681.12 × 17,638
  4. Step 4: Simplify right side
    30,205.96x = 735,171,594.56
  5. Step 5: Solve for x
    x = 735,171,594.56/30,205.96
  6. Step 6: Final answer
    x = 24,338.63

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1.5x scale

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.