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Finding the Fourth Proportional to 10,175.20, 14,042 and 5,699.28

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Solution

The fourth proportional to 10,175.20, 14,042 and 5,699.28 is: 7,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.20 : 14,042 = 5,699.28 : x
  2. Step 2: Convert to fraction form
    10,175.20/14,042 = 5,699.28/x
  3. Step 3: Cross multiply
    10,175.20x = 14,042 × 5,699.28
  4. Step 4: Simplify right side
    10,175.20x = 80,029,289.76
  5. Step 5: Solve for x
    x = 80,029,289.76/10,175.20
  6. Step 6: Final answer
    x = 7,865.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.