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Finding the Fourth Proportional to 30,650, 42,297 and 18,711.44

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Solution

The fourth proportional to 30,650, 42,297 and 18,711.44 is: 25,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650 : 42,297 = 18,711.44 : x
  2. Step 2: Convert to fraction form
    30,650/42,297 = 18,711.44/x
  3. Step 3: Cross multiply
    30,650x = 42,297 × 18,711.44
  4. Step 4: Simplify right side
    30,650x = 791,437,777.68
  5. Step 5: Solve for x
    x = 791,437,777.68/30,650
  6. Step 6: Final answer
    x = 25,821.79

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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.