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Finding the Fourth Proportional to 42,934, 64,401 and 18,310

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Solution

The fourth proportional to 42,934, 64,401 and 18,310 is: 27,465

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,934 : 64,401 = 18,310 : x
  2. Step 2: Convert to fraction form
    42,934/64,401 = 18,310/x
  3. Step 3: Cross multiply
    42,934x = 64,401 × 18,310
  4. Step 4: Simplify right side
    42,934x = 1,179,182,310
  5. Step 5: Solve for x
    x = 1,179,182,310/42,934
  6. Step 6: Final answer
    x = 27,465

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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.