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Finding the Fourth Proportional to 24,219.78, 36,328.67 and 8,428.43

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Solution

The fourth proportional to 24,219.78, 36,328.67 and 8,428.43 is: 12,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.78 : 36,328.67 = 8,428.43 : x
  2. Step 2: Convert to fraction form
    24,219.78/36,328.67 = 8,428.43/x
  3. Step 3: Cross multiply
    24,219.78x = 36,328.67 × 8,428.43
  4. Step 4: Simplify right side
    24,219.78x = 306,193,428.30
  5. Step 5: Solve for x
    x = 306,193,428.30/24,219.78
  6. Step 6: Final answer
    x = 12,642.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.