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Finding the Fourth Proportional to 2,403.26, 3,606.52 and 864.26

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Solution

The fourth proportional to 2,403.26, 3,606.52 and 864.26 is: 1,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.26 : 3,606.52 = 864.26 : x
  2. Step 2: Convert to fraction form
    2,403.26/3,606.52 = 864.26/x
  3. Step 3: Cross multiply
    2,403.26x = 3,606.52 × 864.26
  4. Step 4: Simplify right side
    2,403.26x = 3,116,970.98
  5. Step 5: Solve for x
    x = 3,116,970.98/2,403.26
  6. Step 6: Final answer
    x = 1,296.98

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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.