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Finding the Fourth Proportional to 43,408, 65,112 and 10,576

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Solution

The fourth proportional to 43,408, 65,112 and 10,576 is: 15,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408 : 65,112 = 10,576 : x
  2. Step 2: Convert to fraction form
    43,408/65,112 = 10,576/x
  3. Step 3: Cross multiply
    43,408x = 65,112 × 10,576
  4. Step 4: Simplify right side
    43,408x = 688,624,512
  5. Step 5: Solve for x
    x = 688,624,512/43,408
  6. Step 6: Final answer
    x = 15,864

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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.