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Finding the Fourth Proportional to 2,872.64, 3,964.02 and 1,613.50

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Solution

The fourth proportional to 2,872.64, 3,964.02 and 1,613.50 is: 2,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.64 : 3,964.02 = 1,613.50 : x
  2. Step 2: Convert to fraction form
    2,872.64/3,964.02 = 1,613.50/x
  3. Step 3: Cross multiply
    2,872.64x = 3,964.02 × 1,613.50
  4. Step 4: Simplify right side
    2,872.64x = 6,395,946.27
  5. Step 5: Solve for x
    x = 6,395,946.27/2,872.64
  6. Step 6: Final answer
    x = 2,226.50

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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.