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Finding the Fourth Proportional to 38,048, 57,072.18 and 10,346

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Solution

The fourth proportional to 38,048, 57,072.18 and 10,346 is: 15,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048 : 57,072.18 = 10,346 : x
  2. Step 2: Convert to fraction form
    38,048/57,072.18 = 10,346/x
  3. Step 3: Cross multiply
    38,048x = 57,072.18 × 10,346
  4. Step 4: Simplify right side
    38,048x = 590,468,774.28
  5. Step 5: Solve for x
    x = 590,468,774.28/38,048
  6. Step 6: Final answer
    x = 15,519.05

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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.