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Finding the Fourth Proportional to 10,002, 13,804.38 and 5,812.68

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Solution

The fourth proportional to 10,002, 13,804.38 and 5,812.68 is: 8,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 13,804.38 = 5,812.68 : x
  2. Step 2: Convert to fraction form
    10,002/13,804.38 = 5,812.68/x
  3. Step 3: Cross multiply
    10,002x = 13,804.38 × 5,812.68
  4. Step 4: Simplify right side
    10,002x = 80,240,443.54
  5. Step 5: Solve for x
    x = 80,240,443.54/10,002
  6. Step 6: Final answer
    x = 8,022.44

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1.5x scale

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.