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Finding the Fourth Proportional to 2,595.85, 3,893.67 and 864.47

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Solution

The fourth proportional to 2,595.85, 3,893.67 and 864.47 is: 1,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.85 : 3,893.67 = 864.47 : x
  2. Step 2: Convert to fraction form
    2,595.85/3,893.67 = 864.47/x
  3. Step 3: Cross multiply
    2,595.85x = 3,893.67 × 864.47
  4. Step 4: Simplify right side
    2,595.85x = 3,365,970.64
  5. Step 5: Solve for x
    x = 3,365,970.64/2,595.85
  6. Step 6: Final answer
    x = 1,296.68

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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.