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Finding the Fourth Proportional to 26,618.40, 39,920.78 and 7,894.06

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Solution

The fourth proportional to 26,618.40, 39,920.78 and 7,894.06 is: 11,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618.40 : 39,920.78 = 7,894.06 : x
  2. Step 2: Convert to fraction form
    26,618.40/39,920.78 = 7,894.06/x
  3. Step 3: Cross multiply
    26,618.40x = 39,920.78 × 7,894.06
  4. Step 4: Simplify right side
    26,618.40x = 315,137,032.57
  5. Step 5: Solve for x
    x = 315,137,032.57/26,618.40
  6. Step 6: Final answer
    x = 11,839.07

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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.