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Finding the Fourth Proportional to 38,310, 57,465 and 10,608

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Solution

The fourth proportional to 38,310, 57,465 and 10,608 is: 15,912

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310 : 57,465 = 10,608 : x
  2. Step 2: Convert to fraction form
    38,310/57,465 = 10,608/x
  3. Step 3: Cross multiply
    38,310x = 57,465 × 10,608
  4. Step 4: Simplify right side
    38,310x = 609,588,720
  5. Step 5: Solve for x
    x = 609,588,720/38,310
  6. Step 6: Final answer
    x = 15,912

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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.