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Finding the Fourth Proportional to 30,396.70, 41,952.31 and 17,821.45

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Solution

The fourth proportional to 30,396.70, 41,952.31 and 17,821.45 is: 24,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.70 : 41,952.31 = 17,821.45 : x
  2. Step 2: Convert to fraction form
    30,396.70/41,952.31 = 17,821.45/x
  3. Step 3: Cross multiply
    30,396.70x = 41,952.31 × 17,821.45
  4. Step 4: Simplify right side
    30,396.70x = 747,650,995.05
  5. Step 5: Solve for x
    x = 747,650,995.05/30,396.70
  6. Step 6: Final answer
    x = 24,596.45

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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.