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Finding the Fourth Proportional to 13,269, 19,904 and 4,951.12

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Solution

The fourth proportional to 13,269, 19,904 and 4,951.12 is: 7,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,269 : 19,904 = 4,951.12 : x
  2. Step 2: Convert to fraction form
    13,269/19,904 = 4,951.12/x
  3. Step 3: Cross multiply
    13,269x = 19,904 × 4,951.12
  4. Step 4: Simplify right side
    13,269x = 98,547,092.48
  5. Step 5: Solve for x
    x = 98,547,092.48/13,269
  6. Step 6: Final answer
    x = 7,426.87

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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.