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Finding the Fourth Proportional to 10,578.50, 14,595 and 7,042.28

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Solution

The fourth proportional to 10,578.50, 14,595 and 7,042.28 is: 9,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.50 : 14,595 = 7,042.28 : x
  2. Step 2: Convert to fraction form
    10,578.50/14,595 = 7,042.28/x
  3. Step 3: Cross multiply
    10,578.50x = 14,595 × 7,042.28
  4. Step 4: Simplify right side
    10,578.50x = 102,782,076.60
  5. Step 5: Solve for x
    x = 102,782,076.60/10,578.50
  6. Step 6: Final answer
    x = 9,716.13

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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.