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Finding the Fourth Proportional to 38,010, 57,016.08 and 10,308

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Solution

The fourth proportional to 38,010, 57,016.08 and 10,308 is: 15,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,010 : 57,016.08 = 10,308 : x
  2. Step 2: Convert to fraction form
    38,010/57,016.08 = 10,308/x
  3. Step 3: Cross multiply
    38,010x = 57,016.08 × 10,308
  4. Step 4: Simplify right side
    38,010x = 587,721,752.64
  5. Step 5: Solve for x
    x = 587,721,752.64/38,010
  6. Step 6: Final answer
    x = 15,462.29

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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.