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Finding the Fourth Proportional to 2,590.71, 3,574.21 and 1,659.75

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Solution

The fourth proportional to 2,590.71, 3,574.21 and 1,659.75 is: 2,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.71 : 3,574.21 = 1,659.75 : x
  2. Step 2: Convert to fraction form
    2,590.71/3,574.21 = 1,659.75/x
  3. Step 3: Cross multiply
    2,590.71x = 3,574.21 × 1,659.75
  4. Step 4: Simplify right side
    2,590.71x = 5,932,295.05
  5. Step 5: Solve for x
    x = 5,932,295.05/2,590.71
  6. Step 6: Final answer
    x = 2,289.83

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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.