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Finding the Fourth Proportional to 10,592, 15,888 and 3,296

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Solution

The fourth proportional to 10,592, 15,888 and 3,296 is: 4,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592 : 15,888 = 3,296 : x
  2. Step 2: Convert to fraction form
    10,592/15,888 = 3,296/x
  3. Step 3: Cross multiply
    10,592x = 15,888 × 3,296
  4. Step 4: Simplify right side
    10,592x = 52,366,848
  5. Step 5: Solve for x
    x = 52,366,848/10,592
  6. Step 6: Final answer
    x = 4,944

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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.