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Finding the Fourth Proportional to 10,388, 15,582 and 3,092

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Solution

The fourth proportional to 10,388, 15,582 and 3,092 is: 4,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388 : 15,582 = 3,092 : x
  2. Step 2: Convert to fraction form
    10,388/15,582 = 3,092/x
  3. Step 3: Cross multiply
    10,388x = 15,582 × 3,092
  4. Step 4: Simplify right side
    10,388x = 48,179,544
  5. Step 5: Solve for x
    x = 48,179,544/10,388
  6. Step 6: Final answer
    x = 4,638

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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.