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Finding the Fourth Proportional to 8,709.75, 13,064.69 and 2,135.94

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Solution

The fourth proportional to 8,709.75, 13,064.69 and 2,135.94 is: 3,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.75 : 13,064.69 = 2,135.94 : x
  2. Step 2: Convert to fraction form
    8,709.75/13,064.69 = 2,135.94/x
  3. Step 3: Cross multiply
    8,709.75x = 13,064.69 × 2,135.94
  4. Step 4: Simplify right side
    8,709.75x = 27,905,364.35
  5. Step 5: Solve for x
    x = 27,905,364.35/8,709.75
  6. Step 6: Final answer
    x = 3,203.92

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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.