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Finding the Fourth Proportional to 5,279.94, 7,922.34 and 2,509.74

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Solution

The fourth proportional to 5,279.94, 7,922.34 and 2,509.74 is: 3,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.94 : 7,922.34 = 2,509.74 : x
  2. Step 2: Convert to fraction form
    5,279.94/7,922.34 = 2,509.74/x
  3. Step 3: Cross multiply
    5,279.94x = 7,922.34 × 2,509.74
  4. Step 4: Simplify right side
    5,279.94x = 19,883,013.59
  5. Step 5: Solve for x
    x = 19,883,013.59/5,279.94
  6. Step 6: Final answer
    x = 3,765.77

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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.