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Finding the Fourth Proportional to 65,008, 97,512 and 15,760

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Solution

The fourth proportional to 65,008, 97,512 and 15,760 is: 23,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,008 : 97,512 = 15,760 : x
  2. Step 2: Convert to fraction form
    65,008/97,512 = 15,760/x
  3. Step 3: Cross multiply
    65,008x = 97,512 × 15,760
  4. Step 4: Simplify right side
    65,008x = 1,536,789,120
  5. Step 5: Solve for x
    x = 1,536,789,120/65,008
  6. Step 6: Final answer
    x = 23,640

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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.