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Finding the Fourth Proportional to 2,608.50, 3,599.74 and 1,429.65

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Solution

The fourth proportional to 2,608.50, 3,599.74 and 1,429.65 is: 1,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.50 : 3,599.74 = 1,429.65 : x
  2. Step 2: Convert to fraction form
    2,608.50/3,599.74 = 1,429.65/x
  3. Step 3: Cross multiply
    2,608.50x = 3,599.74 × 1,429.65
  4. Step 4: Simplify right side
    2,608.50x = 5,146,370.08
  5. Step 5: Solve for x
    x = 5,146,370.08/2,608.50
  6. Step 6: Final answer
    x = 1,972.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.