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Finding the Fourth Proportional to 11,411.85, 15,747.78 and 6,375.07

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Solution

The fourth proportional to 11,411.85, 15,747.78 and 6,375.07 is: 8,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.85 : 15,747.78 = 6,375.07 : x
  2. Step 2: Convert to fraction form
    11,411.85/15,747.78 = 6,375.07/x
  3. Step 3: Cross multiply
    11,411.85x = 15,747.78 × 6,375.07
  4. Step 4: Simplify right side
    11,411.85x = 100,393,199.84
  5. Step 5: Solve for x
    x = 100,393,199.84/11,411.85
  6. Step 6: Final answer
    x = 8,797.28

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1.5x scale

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.