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Finding the Fourth Proportional to 2,585.64, 3,878.82 and 2,173.86

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Solution

The fourth proportional to 2,585.64, 3,878.82 and 2,173.86 is: 3,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.64 : 3,878.82 = 2,173.86 : x
  2. Step 2: Convert to fraction form
    2,585.64/3,878.82 = 2,173.86/x
  3. Step 3: Cross multiply
    2,585.64x = 3,878.82 × 2,173.86
  4. Step 4: Simplify right side
    2,585.64x = 8,432,011.65
  5. Step 5: Solve for x
    x = 8,432,011.65/2,585.64
  6. Step 6: Final answer
    x = 3,261.09

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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.