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Finding the Fourth Proportional to 26,639.84, 39,959.78 and 6,916.74

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Solution

The fourth proportional to 26,639.84, 39,959.78 and 6,916.74 is: 10,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,639.84 : 39,959.78 = 6,916.74 : x
  2. Step 2: Convert to fraction form
    26,639.84/39,959.78 = 6,916.74/x
  3. Step 3: Cross multiply
    26,639.84x = 39,959.78 × 6,916.74
  4. Step 4: Simplify right side
    26,639.84x = 276,391,408.72
  5. Step 5: Solve for x
    x = 276,391,408.72/26,639.84
  6. Step 6: Final answer
    x = 10,375.12

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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.