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Finding the Fourth Proportional to 11,200.25, 16,802.12 and 3,802.99

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Solution

The fourth proportional to 11,200.25, 16,802.12 and 3,802.99 is: 5,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.25 : 16,802.12 = 3,802.99 : x
  2. Step 2: Convert to fraction form
    11,200.25/16,802.12 = 3,802.99/x
  3. Step 3: Cross multiply
    11,200.25x = 16,802.12 × 3,802.99
  4. Step 4: Simplify right side
    11,200.25x = 63,898,264.37
  5. Step 5: Solve for x
    x = 63,898,264.37/11,200.25
  6. Step 6: Final answer
    x = 5,705.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.