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Finding the Fourth Proportional to 10,802.11, 16,206 and 3,406.81

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Solution

The fourth proportional to 10,802.11, 16,206 and 3,406.81 is: 5,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.11 : 16,206 = 3,406.81 : x
  2. Step 2: Convert to fraction form
    10,802.11/16,206 = 3,406.81/x
  3. Step 3: Cross multiply
    10,802.11x = 16,206 × 3,406.81
  4. Step 4: Simplify right side
    10,802.11x = 55,210,762.86
  5. Step 5: Solve for x
    x = 55,210,762.86/10,802.11
  6. Step 6: Final answer
    x = 5,111.11

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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.