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Finding the Fourth Proportional to 13,802.25, 19,049.27 and 8,216.49

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Solution

The fourth proportional to 13,802.25, 19,049.27 and 8,216.49 is: 11,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.25 : 19,049.27 = 8,216.49 : x
  2. Step 2: Convert to fraction form
    13,802.25/19,049.27 = 8,216.49/x
  3. Step 3: Cross multiply
    13,802.25x = 19,049.27 × 8,216.49
  4. Step 4: Simplify right side
    13,802.25x = 156,518,095.38
  5. Step 5: Solve for x
    x = 156,518,095.38/13,802.25
  6. Step 6: Final answer
    x = 11,340.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.