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Finding the Fourth Proportional to 8,709.84, 13,064.64 and 2,135.94

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Solution

The fourth proportional to 8,709.84, 13,064.64 and 2,135.94 is: 3,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.84 : 13,064.64 = 2,135.94 : x
  2. Step 2: Convert to fraction form
    8,709.84/13,064.64 = 2,135.94/x
  3. Step 3: Cross multiply
    8,709.84x = 13,064.64 × 2,135.94
  4. Step 4: Simplify right side
    8,709.84x = 27,905,287.16
  5. Step 5: Solve for x
    x = 27,905,287.16/8,709.84
  6. Step 6: Final answer
    x = 3,203.88

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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.