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Finding the Fourth Proportional to 8,300.56, 11,453.84 and 4,942.90

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Solution

The fourth proportional to 8,300.56, 11,453.84 and 4,942.90 is: 6,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.56 : 11,453.84 = 4,942.90 : x
  2. Step 2: Convert to fraction form
    8,300.56/11,453.84 = 4,942.90/x
  3. Step 3: Cross multiply
    8,300.56x = 11,453.84 × 4,942.90
  4. Step 4: Simplify right side
    8,300.56x = 56,615,185.74
  5. Step 5: Solve for x
    x = 56,615,185.74/8,300.56
  6. Step 6: Final answer
    x = 6,820.65

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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.