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Finding the Fourth Proportional to 3,959.64, 5,464.72 and 2,281.12

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Solution

The fourth proportional to 3,959.64, 5,464.72 and 2,281.12 is: 3,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.64 : 5,464.72 = 2,281.12 : x
  2. Step 2: Convert to fraction form
    3,959.64/5,464.72 = 2,281.12/x
  3. Step 3: Cross multiply
    3,959.64x = 5,464.72 × 2,281.12
  4. Step 4: Simplify right side
    3,959.64x = 12,465,682.09
  5. Step 5: Solve for x
    x = 12,465,682.09/3,959.64
  6. Step 6: Final answer
    x = 3,148.19

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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.