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Finding the Fourth Proportional to 6,255.84, 9,385 and 1,872.96

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Solution

The fourth proportional to 6,255.84, 9,385 and 1,872.96 is: 2,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.84 : 9,385 = 1,872.96 : x
  2. Step 2: Convert to fraction form
    6,255.84/9,385 = 1,872.96/x
  3. Step 3: Cross multiply
    6,255.84x = 9,385 × 1,872.96
  4. Step 4: Simplify right side
    6,255.84x = 17,577,729.60
  5. Step 5: Solve for x
    x = 17,577,729.60/6,255.84
  6. Step 6: Final answer
    x = 2,809.81

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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.