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Finding the Fourth Proportional to 2,486.83, 3,730.61 and 755.95

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Solution

The fourth proportional to 2,486.83, 3,730.61 and 755.95 is: 1,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.83 : 3,730.61 = 755.95 : x
  2. Step 2: Convert to fraction form
    2,486.83/3,730.61 = 755.95/x
  3. Step 3: Cross multiply
    2,486.83x = 3,730.61 × 755.95
  4. Step 4: Simplify right side
    2,486.83x = 2,820,154.63
  5. Step 5: Solve for x
    x = 2,820,154.63/2,486.83
  6. Step 6: Final answer
    x = 1,134.04

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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.