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Finding the Fourth Proportional to 5,153.33, 7,729.10 and 2,379.77

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Solution

The fourth proportional to 5,153.33, 7,729.10 and 2,379.77 is: 3,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.33 : 7,729.10 = 2,379.77 : x
  2. Step 2: Convert to fraction form
    5,153.33/7,729.10 = 2,379.77/x
  3. Step 3: Cross multiply
    5,153.33x = 7,729.10 × 2,379.77
  4. Step 4: Simplify right side
    5,153.33x = 18,393,480.31
  5. Step 5: Solve for x
    x = 18,393,480.31/5,153.33
  6. Step 6: Final answer
    x = 3,569.24

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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.