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Finding the Fourth Proportional to 3,166.91, 4,750.33 and 826.89

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Solution

The fourth proportional to 3,166.91, 4,750.33 and 826.89 is: 1,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.91 : 4,750.33 = 826.89 : x
  2. Step 2: Convert to fraction form
    3,166.91/4,750.33 = 826.89/x
  3. Step 3: Cross multiply
    3,166.91x = 4,750.33 × 826.89
  4. Step 4: Simplify right side
    3,166.91x = 3,927,972.49
  5. Step 5: Solve for x
    x = 3,927,972.49/3,166.91
  6. Step 6: Final answer
    x = 1,240.32

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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.