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Finding the Fourth Proportional to 2,579.50, 3,869.19 and 730.58

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Solution

The fourth proportional to 2,579.50, 3,869.19 and 730.58 is: 1,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.50 : 3,869.19 = 730.58 : x
  2. Step 2: Convert to fraction form
    2,579.50/3,869.19 = 730.58/x
  3. Step 3: Cross multiply
    2,579.50x = 3,869.19 × 730.58
  4. Step 4: Simplify right side
    2,579.50x = 2,826,752.83
  5. Step 5: Solve for x
    x = 2,826,752.83/2,579.50
  6. Step 6: Final answer
    x = 1,095.85

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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.