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Finding the Fourth Proportional to 2,596.20, 3,886.20 and 1,867.20

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Solution

The fourth proportional to 2,596.20, 3,886.20 and 1,867.20 is: 2,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.20 : 3,886.20 = 1,867.20 : x
  2. Step 2: Convert to fraction form
    2,596.20/3,886.20 = 1,867.20/x
  3. Step 3: Cross multiply
    2,596.20x = 3,886.20 × 1,867.20
  4. Step 4: Simplify right side
    2,596.20x = 7,256,312.64
  5. Step 5: Solve for x
    x = 7,256,312.64/2,596.20
  6. Step 6: Final answer
    x = 2,794.97

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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.