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Finding the Fourth Proportional to 8,372.45, 11,554.20 and 4,738.20

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Solution

The fourth proportional to 8,372.45, 11,554.20 and 4,738.20 is: 6,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.45 : 11,554.20 = 4,738.20 : x
  2. Step 2: Convert to fraction form
    8,372.45/11,554.20 = 4,738.20/x
  3. Step 3: Cross multiply
    8,372.45x = 11,554.20 × 4,738.20
  4. Step 4: Simplify right side
    8,372.45x = 54,746,110.44
  5. Step 5: Solve for x
    x = 54,746,110.44/8,372.45
  6. Step 6: Final answer
    x = 6,538.84

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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.