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Finding the Fourth Proportional to 13,267, 19,901 and 4,949.12

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Solution

The fourth proportional to 13,267, 19,901 and 4,949.12 is: 7,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267 : 19,901 = 4,949.12 : x
  2. Step 2: Convert to fraction form
    13,267/19,901 = 4,949.12/x
  3. Step 3: Cross multiply
    13,267x = 19,901 × 4,949.12
  4. Step 4: Simplify right side
    13,267x = 98,492,437.12
  5. Step 5: Solve for x
    x = 98,492,437.12/13,267
  6. Step 6: Final answer
    x = 7,423.87

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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.