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Finding the Fourth Proportional to 2,595.95, 3,893.94 and 864.57

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Solution

The fourth proportional to 2,595.95, 3,893.94 and 864.57 is: 1,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.95 : 3,893.94 = 864.57 : x
  2. Step 2: Convert to fraction form
    2,595.95/3,893.94 = 864.57/x
  3. Step 3: Cross multiply
    2,595.95x = 3,893.94 × 864.57
  4. Step 4: Simplify right side
    2,595.95x = 3,366,583.71
  5. Step 5: Solve for x
    x = 3,366,583.71/2,595.95
  6. Step 6: Final answer
    x = 1,296.86

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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.