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Finding the Fourth Proportional to 2,617.64, 3,612.26 and 1,438.64

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Solution

The fourth proportional to 2,617.64, 3,612.26 and 1,438.64 is: 1,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.64 : 3,612.26 = 1,438.64 : x
  2. Step 2: Convert to fraction form
    2,617.64/3,612.26 = 1,438.64/x
  3. Step 3: Cross multiply
    2,617.64x = 3,612.26 × 1,438.64
  4. Step 4: Simplify right side
    2,617.64x = 5,196,716.47
  5. Step 5: Solve for x
    x = 5,196,716.47/2,617.64
  6. Step 6: Final answer
    x = 1,985.27

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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.