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Finding the Fourth Proportional to 26,948.42, 40,428.99 and 8,480.42

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Solution

The fourth proportional to 26,948.42, 40,428.99 and 8,480.42 is: 12,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948.42 : 40,428.99 = 8,480.42 : x
  2. Step 2: Convert to fraction form
    26,948.42/40,428.99 = 8,480.42/x
  3. Step 3: Cross multiply
    26,948.42x = 40,428.99 × 8,480.42
  4. Step 4: Simplify right side
    26,948.42x = 342,854,815.38
  5. Step 5: Solve for x
    x = 342,854,815.38/26,948.42
  6. Step 6: Final answer
    x = 12,722.63

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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.