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Finding the Fourth Proportional to 38,728, 58,101.72 and 11,026

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Solution

The fourth proportional to 38,728, 58,101.72 and 11,026 is: 16,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728 : 58,101.72 = 11,026 : x
  2. Step 2: Convert to fraction form
    38,728/58,101.72 = 11,026/x
  3. Step 3: Cross multiply
    38,728x = 58,101.72 × 11,026
  4. Step 4: Simplify right side
    38,728x = 640,629,564.72
  5. Step 5: Solve for x
    x = 640,629,564.72/38,728
  6. Step 6: Final answer
    x = 16,541.77

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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.