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Finding the Fourth Proportional to 8,144, 11,239.98 and 5,002.10

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Solution

The fourth proportional to 8,144, 11,239.98 and 5,002.10 is: 6,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 11,239.98 = 5,002.10 : x
  2. Step 2: Convert to fraction form
    8,144/11,239.98 = 5,002.10/x
  3. Step 3: Cross multiply
    8,144x = 11,239.98 × 5,002.10
  4. Step 4: Simplify right side
    8,144x = 56,223,503.96
  5. Step 5: Solve for x
    x = 56,223,503.96/8,144
  6. Step 6: Final answer
    x = 6,903.67

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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.