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Finding the Fourth Proportional to 3,026.72, 4,539.54 and 834.91

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Solution

The fourth proportional to 3,026.72, 4,539.54 and 834.91 is: 1,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.72 : 4,539.54 = 834.91 : x
  2. Step 2: Convert to fraction form
    3,026.72/4,539.54 = 834.91/x
  3. Step 3: Cross multiply
    3,026.72x = 4,539.54 × 834.91
  4. Step 4: Simplify right side
    3,026.72x = 3,790,080.47
  5. Step 5: Solve for x
    x = 3,790,080.47/3,026.72
  6. Step 6: Final answer
    x = 1,252.21

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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.