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Finding the Fourth Proportional to 7,814.16, 11,720.88 and 2,883.48

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Solution

The fourth proportional to 7,814.16, 11,720.88 and 2,883.48 is: 4,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.16 : 11,720.88 = 2,883.48 : x
  2. Step 2: Convert to fraction form
    7,814.16/11,720.88 = 2,883.48/x
  3. Step 3: Cross multiply
    7,814.16x = 11,720.88 × 2,883.48
  4. Step 4: Simplify right side
    7,814.16x = 33,796,923.06
  5. Step 5: Solve for x
    x = 33,796,923.06/7,814.16
  6. Step 6: Final answer
    x = 4,325.09

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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.