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Finding the Fourth Proportional to 10,802.38, 16,203.57 and 3,407.42

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Solution

The fourth proportional to 10,802.38, 16,203.57 and 3,407.42 is: 5,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.38 : 16,203.57 = 3,407.42 : x
  2. Step 2: Convert to fraction form
    10,802.38/16,203.57 = 3,407.42/x
  3. Step 3: Cross multiply
    10,802.38x = 16,203.57 × 3,407.42
  4. Step 4: Simplify right side
    10,802.38x = 55,212,287.47
  5. Step 5: Solve for x
    x = 55,212,287.47/10,802.38
  6. Step 6: Final answer
    x = 5,111.12

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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.