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Finding the Fourth Proportional to 12,838, 19,257 and 3,604

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Solution

The fourth proportional to 12,838, 19,257 and 3,604 is: 5,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 19,257 = 3,604 : x
  2. Step 2: Convert to fraction form
    12,838/19,257 = 3,604/x
  3. Step 3: Cross multiply
    12,838x = 19,257 × 3,604
  4. Step 4: Simplify right side
    12,838x = 69,402,228
  5. Step 5: Solve for x
    x = 69,402,228/12,838
  6. Step 6: Final answer
    x = 5,406

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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.