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Finding the Fourth Proportional to 2,403.50, 3,605.62 and 864.86

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Solution

The fourth proportional to 2,403.50, 3,605.62 and 864.86 is: 1,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.50 : 3,605.62 = 864.86 : x
  2. Step 2: Convert to fraction form
    2,403.50/3,605.62 = 864.86/x
  3. Step 3: Cross multiply
    2,403.50x = 3,605.62 × 864.86
  4. Step 4: Simplify right side
    2,403.50x = 3,118,356.51
  5. Step 5: Solve for x
    x = 3,118,356.51/2,403.50
  6. Step 6: Final answer
    x = 1,297.42

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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.