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Finding the Fourth Proportional to 2,826.70, 4,238.93 and 851.72

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Solution

The fourth proportional to 2,826.70, 4,238.93 and 851.72 is: 1,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.70 : 4,238.93 = 851.72 : x
  2. Step 2: Convert to fraction form
    2,826.70/4,238.93 = 851.72/x
  3. Step 3: Cross multiply
    2,826.70x = 4,238.93 × 851.72
  4. Step 4: Simplify right side
    2,826.70x = 3,610,362.39
  5. Step 5: Solve for x
    x = 3,610,362.39/2,826.70
  6. Step 6: Final answer
    x = 1,277.24

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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.