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Finding the Fourth Proportional to 10,802.13, 16,202.07 and 3,406.38

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Solution

The fourth proportional to 10,802.13, 16,202.07 and 3,406.38 is: 5,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.13 : 16,202.07 = 3,406.38 : x
  2. Step 2: Convert to fraction form
    10,802.13/16,202.07 = 3,406.38/x
  3. Step 3: Cross multiply
    10,802.13x = 16,202.07 × 3,406.38
  4. Step 4: Simplify right side
    10,802.13x = 55,190,407.21
  5. Step 5: Solve for x
    x = 55,190,407.21/10,802.13
  6. Step 6: Final answer
    x = 5,109.22

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1.5x scale

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.