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Finding the Fourth Proportional to 2,613.86, 3,608.81 and 1,730.85

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Solution

The fourth proportional to 2,613.86, 3,608.81 and 1,730.85 is: 2,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.86 : 3,608.81 = 1,730.85 : x
  2. Step 2: Convert to fraction form
    2,613.86/3,608.81 = 1,730.85/x
  3. Step 3: Cross multiply
    2,613.86x = 3,608.81 × 1,730.85
  4. Step 4: Simplify right side
    2,613.86x = 6,246,300.13
  5. Step 5: Solve for x
    x = 6,246,300.13/2,613.86
  6. Step 6: Final answer
    x = 2,389.69

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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.