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Finding the Fourth Proportional to 12,920, 19,387 and 10,004

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Solution

The fourth proportional to 12,920, 19,387 and 10,004 is: 15,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920 : 19,387 = 10,004 : x
  2. Step 2: Convert to fraction form
    12,920/19,387 = 10,004/x
  3. Step 3: Cross multiply
    12,920x = 19,387 × 10,004
  4. Step 4: Simplify right side
    12,920x = 193,947,548
  5. Step 5: Solve for x
    x = 193,947,548/12,920
  6. Step 6: Final answer
    x = 15,011.42

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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.