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Finding the Fourth Proportional to 30,619, 42,123 and 29,306.80

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Solution

The fourth proportional to 30,619, 42,123 and 29,306.80 is: 40,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,619 : 42,123 = 29,306.80 : x
  2. Step 2: Convert to fraction form
    30,619/42,123 = 29,306.80/x
  3. Step 3: Cross multiply
    30,619x = 42,123 × 29,306.80
  4. Step 4: Simplify right side
    30,619x = 1,234,490,336.40
  5. Step 5: Solve for x
    x = 1,234,490,336.40/30,619
  6. Step 6: Final answer
    x = 40,317.79

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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.