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Finding the Fourth Proportional to 10,802.14, 16,192.27 and 7,283.50

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Solution

The fourth proportional to 10,802.14, 16,192.27 and 7,283.50 is: 10,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.14 : 16,192.27 = 7,283.50 : x
  2. Step 2: Convert to fraction form
    10,802.14/16,192.27 = 7,283.50/x
  3. Step 3: Cross multiply
    10,802.14x = 16,192.27 × 7,283.50
  4. Step 4: Simplify right side
    10,802.14x = 117,936,398.55
  5. Step 5: Solve for x
    x = 117,936,398.55/10,802.14
  6. Step 6: Final answer
    x = 10,917.87

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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.