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Finding the Fourth Proportional to 30,902.99, 42,624.36 and 29,874.22

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Solution

The fourth proportional to 30,902.99, 42,624.36 and 29,874.22 is: 41,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.99 : 42,624.36 = 29,874.22 : x
  2. Step 2: Convert to fraction form
    30,902.99/42,624.36 = 29,874.22/x
  3. Step 3: Cross multiply
    30,902.99x = 42,624.36 × 29,874.22
  4. Step 4: Simplify right side
    30,902.99x = 1,273,369,401.44
  5. Step 5: Solve for x
    x = 1,273,369,401.44/30,902.99
  6. Step 6: Final answer
    x = 41,205.39

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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.