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Finding the Fourth Proportional to 10,002, 15,000.84 and 7,071.96

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Solution

The fourth proportional to 10,002, 15,000.84 and 7,071.96 is: 10,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002 : 15,000.84 = 7,071.96 : x
  2. Step 2: Convert to fraction form
    10,002/15,000.84 = 7,071.96/x
  3. Step 3: Cross multiply
    10,002x = 15,000.84 × 7,071.96
  4. Step 4: Simplify right side
    10,002x = 106,085,340.45
  5. Step 5: Solve for x
    x = 106,085,340.45/10,002
  6. Step 6: Final answer
    x = 10,606.41

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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.