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Finding the Fourth Proportional to 64,876, 97,314 and 15,628

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Solution

The fourth proportional to 64,876, 97,314 and 15,628 is: 23,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,876 : 97,314 = 15,628 : x
  2. Step 2: Convert to fraction form
    64,876/97,314 = 15,628/x
  3. Step 3: Cross multiply
    64,876x = 97,314 × 15,628
  4. Step 4: Simplify right side
    64,876x = 1,520,823,192
  5. Step 5: Solve for x
    x = 1,520,823,192/64,876
  6. Step 6: Final answer
    x = 23,442

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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.