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Finding the Fourth Proportional to 2,579.83, 3,869.16 and 730.52

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Solution

The fourth proportional to 2,579.83, 3,869.16 and 730.52 is: 1,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.83 : 3,869.16 = 730.52 : x
  2. Step 2: Convert to fraction form
    2,579.83/3,869.16 = 730.52/x
  3. Step 3: Cross multiply
    2,579.83x = 3,869.16 × 730.52
  4. Step 4: Simplify right side
    2,579.83x = 2,826,498.76
  5. Step 5: Solve for x
    x = 2,826,498.76/2,579.83
  6. Step 6: Final answer
    x = 1,095.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.