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Finding the Fourth Proportional to 2,590.44, 3,573.54 and 1,751.22

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Solution

The fourth proportional to 2,590.44, 3,573.54 and 1,751.22 is: 2,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.44 : 3,573.54 = 1,751.22 : x
  2. Step 2: Convert to fraction form
    2,590.44/3,573.54 = 1,751.22/x
  3. Step 3: Cross multiply
    2,590.44x = 3,573.54 × 1,751.22
  4. Step 4: Simplify right side
    2,590.44x = 6,258,054.72
  5. Step 5: Solve for x
    x = 6,258,054.72/2,590.44
  6. Step 6: Final answer
    x = 2,415.83

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Half scale
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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.