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Finding the Fourth Proportional to 2,617.25, 3,925.88 and 1,078.25

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Solution

The fourth proportional to 2,617.25, 3,925.88 and 1,078.25 is: 1,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.25 : 3,925.88 = 1,078.25 : x
  2. Step 2: Convert to fraction form
    2,617.25/3,925.88 = 1,078.25/x
  3. Step 3: Cross multiply
    2,617.25x = 3,925.88 × 1,078.25
  4. Step 4: Simplify right side
    2,617.25x = 4,233,080.11
  5. Step 5: Solve for x
    x = 4,233,080.11/2,617.25
  6. Step 6: Final answer
    x = 1,617.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.