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Finding the Fourth Proportional to 26,418, 39,599.07 and 9,767.34

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Solution

The fourth proportional to 26,418, 39,599.07 and 9,767.34 is: 14,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,418 : 39,599.07 = 9,767.34 : x
  2. Step 2: Convert to fraction form
    26,418/39,599.07 = 9,767.34/x
  3. Step 3: Cross multiply
    26,418x = 39,599.07 × 9,767.34
  4. Step 4: Simplify right side
    26,418x = 386,777,580.37
  5. Step 5: Solve for x
    x = 386,777,580.37/26,418
  6. Step 6: Final answer
    x = 14,640.68

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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.