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Finding the Fourth Proportional to 7,713.72, 11,568.20 and 2,782.72

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Solution

The fourth proportional to 7,713.72, 11,568.20 and 2,782.72 is: 4,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.72 : 11,568.20 = 2,782.72 : x
  2. Step 2: Convert to fraction form
    7,713.72/11,568.20 = 2,782.72/x
  3. Step 3: Cross multiply
    7,713.72x = 11,568.20 × 2,782.72
  4. Step 4: Simplify right side
    7,713.72x = 32,191,062.05
  5. Step 5: Solve for x
    x = 32,191,062.05/7,713.72
  6. Step 6: Final answer
    x = 4,173.22

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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.