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Finding the Fourth Proportional to 10,802.16, 16,194.33 and 3,402

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Solution

The fourth proportional to 10,802.16, 16,194.33 and 3,402 is: 5,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.16 : 16,194.33 = 3,402 : x
  2. Step 2: Convert to fraction form
    10,802.16/16,194.33 = 3,402/x
  3. Step 3: Cross multiply
    10,802.16x = 16,194.33 × 3,402
  4. Step 4: Simplify right side
    10,802.16x = 55,093,110.66
  5. Step 5: Solve for x
    x = 55,093,110.66/10,802.16
  6. Step 6: Final answer
    x = 5,100.19

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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.