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Finding the Fourth Proportional to 5,311.63, 7,983.65 and 5,186.89

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Solution

The fourth proportional to 5,311.63, 7,983.65 and 5,186.89 is: 7,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.63 : 7,983.65 = 5,186.89 : x
  2. Step 2: Convert to fraction form
    5,311.63/7,983.65 = 5,186.89/x
  3. Step 3: Cross multiply
    5,311.63x = 7,983.65 × 5,186.89
  4. Step 4: Simplify right side
    5,311.63x = 41,410,314.35
  5. Step 5: Solve for x
    x = 41,410,314.35/5,311.63
  6. Step 6: Final answer
    x = 7,796.16

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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.