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Finding the Fourth Proportional to 10,512, 15,768 and 3,216

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Solution

The fourth proportional to 10,512, 15,768 and 3,216 is: 4,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 15,768 = 3,216 : x
  2. Step 2: Convert to fraction form
    10,512/15,768 = 3,216/x
  3. Step 3: Cross multiply
    10,512x = 15,768 × 3,216
  4. Step 4: Simplify right side
    10,512x = 50,709,888
  5. Step 5: Solve for x
    x = 50,709,888/10,512
  6. Step 6: Final answer
    x = 4,824

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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.