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Finding the Fourth Proportional to 7,213.64, 9,954.10 and 4,188.30

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Solution

The fourth proportional to 7,213.64, 9,954.10 and 4,188.30 is: 5,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.64 : 9,954.10 = 4,188.30 : x
  2. Step 2: Convert to fraction form
    7,213.64/9,954.10 = 4,188.30/x
  3. Step 3: Cross multiply
    7,213.64x = 9,954.10 × 4,188.30
  4. Step 4: Simplify right side
    7,213.64x = 41,690,757.03
  5. Step 5: Solve for x
    x = 41,690,757.03/7,213.64
  6. Step 6: Final answer
    x = 5,779.43

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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.