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Finding the Fourth Proportional to 10,012.92, 13,821.48 and 6,034.20

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Solution

The fourth proportional to 10,012.92, 13,821.48 and 6,034.20 is: 8,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.92 : 13,821.48 = 6,034.20 : x
  2. Step 2: Convert to fraction form
    10,012.92/13,821.48 = 6,034.20/x
  3. Step 3: Cross multiply
    10,012.92x = 13,821.48 × 6,034.20
  4. Step 4: Simplify right side
    10,012.92x = 83,401,574.62
  5. Step 5: Solve for x
    x = 83,401,574.62/10,012.92
  6. Step 6: Final answer
    x = 8,329.40

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