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Finding the Fourth Proportional to 38,128, 57,196 and 10,426

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Solution

The fourth proportional to 38,128, 57,196 and 10,426 is: 15,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128 : 57,196 = 10,426 : x
  2. Step 2: Convert to fraction form
    38,128/57,196 = 10,426/x
  3. Step 3: Cross multiply
    38,128x = 57,196 × 10,426
  4. Step 4: Simplify right side
    38,128x = 596,325,496
  5. Step 5: Solve for x
    x = 596,325,496/38,128
  6. Step 6: Final answer
    x = 15,640.09

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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.