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Finding the Fourth Proportional to 2,564.89, 3,847.06 and 833.51

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Solution

The fourth proportional to 2,564.89, 3,847.06 and 833.51 is: 1,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.89 : 3,847.06 = 833.51 : x
  2. Step 2: Convert to fraction form
    2,564.89/3,847.06 = 833.51/x
  3. Step 3: Cross multiply
    2,564.89x = 3,847.06 × 833.51
  4. Step 4: Simplify right side
    2,564.89x = 3,206,573.64
  5. Step 5: Solve for x
    x = 3,206,573.64/2,564.89
  6. Step 6: Final answer
    x = 1,250.18

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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.