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Finding the Fourth Proportional to 6,735.84, 10,105.47 and 2,118.84

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Solution

The fourth proportional to 6,735.84, 10,105.47 and 2,118.84 is: 3,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.84 : 10,105.47 = 2,118.84 : x
  2. Step 2: Convert to fraction form
    6,735.84/10,105.47 = 2,118.84/x
  3. Step 3: Cross multiply
    6,735.84x = 10,105.47 × 2,118.84
  4. Step 4: Simplify right side
    6,735.84x = 21,411,874.05
  5. Step 5: Solve for x
    x = 21,411,874.05/6,735.84
  6. Step 6: Final answer
    x = 3,178.80

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1.5x scale

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.