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Finding the Fourth Proportional to 2,530.64, 3,494.99 and 2,255.78

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Solution

The fourth proportional to 2,530.64, 3,494.99 and 2,255.78 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.64 : 3,494.99 = 2,255.78 : x
  2. Step 2: Convert to fraction form
    2,530.64/3,494.99 = 2,255.78/x
  3. Step 3: Cross multiply
    2,530.64x = 3,494.99 × 2,255.78
  4. Step 4: Simplify right side
    2,530.64x = 7,883,917.26
  5. Step 5: Solve for x
    x = 7,883,917.26/2,530.64
  6. Step 6: Final answer
    x = 3,115.38

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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.