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Finding the Fourth Proportional to 2,674.77, 4,012.54 and 826.04

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Solution

The fourth proportional to 2,674.77, 4,012.54 and 826.04 is: 1,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.77 : 4,012.54 = 826.04 : x
  2. Step 2: Convert to fraction form
    2,674.77/4,012.54 = 826.04/x
  3. Step 3: Cross multiply
    2,674.77x = 4,012.54 × 826.04
  4. Step 4: Simplify right side
    2,674.77x = 3,314,526.51
  5. Step 5: Solve for x
    x = 3,314,526.51/2,674.77
  6. Step 6: Final answer
    x = 1,239.18

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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.