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Finding the Fourth Proportional to 2,772.84, 3,833.36 and 2,656.67

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Solution

The fourth proportional to 2,772.84, 3,833.36 and 2,656.67 is: 3,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.84 : 3,833.36 = 2,656.67 : x
  2. Step 2: Convert to fraction form
    2,772.84/3,833.36 = 2,656.67/x
  3. Step 3: Cross multiply
    2,772.84x = 3,833.36 × 2,656.67
  4. Step 4: Simplify right side
    2,772.84x = 10,183,950.02
  5. Step 5: Solve for x
    x = 10,183,950.02/2,772.84
  6. Step 6: Final answer
    x = 3,672.75

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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.