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Finding the Fourth Proportional to 7,767.79, 11,639.52 and 4,254.82

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Solution

The fourth proportional to 7,767.79, 11,639.52 and 4,254.82 is: 6,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.79 : 11,639.52 = 4,254.82 : x
  2. Step 2: Convert to fraction form
    7,767.79/11,639.52 = 4,254.82/x
  3. Step 3: Cross multiply
    7,767.79x = 11,639.52 × 4,254.82
  4. Step 4: Simplify right side
    7,767.79x = 49,524,062.49
  5. Step 5: Solve for x
    x = 49,524,062.49/7,767.79
  6. Step 6: Final answer
    x = 6,375.57

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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.