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Finding the Fourth Proportional to 26,340.96, 39,469.92 and 9,678

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Solution

The fourth proportional to 26,340.96, 39,469.92 and 9,678 is: 14,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340.96 : 39,469.92 = 9,678 : x
  2. Step 2: Convert to fraction form
    26,340.96/39,469.92 = 9,678/x
  3. Step 3: Cross multiply
    26,340.96x = 39,469.92 × 9,678
  4. Step 4: Simplify right side
    26,340.96x = 381,989,885.76
  5. Step 5: Solve for x
    x = 381,989,885.76/26,340.96
  6. Step 6: Final answer
    x = 14,501.75

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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.